1. **State the problem:** We have a list of numbers and want to proportion them according to percentages 35%, 15%, and 50%. 2. **Understand the percentages:** The percentages 35%, 15%, and 50% represent parts of a whole, summing to 100%. We want to split the total sum of the numbers into these parts. 3. **Calculate the total sum:** Add all the numbers: $$90+90+85+80+50\times10+48+40\times10+30\times10+20\times10$$ Calculate each group: - $50\times10=500$ - $40\times10=400$ - $30\times10=300$ - $20\times10=200$ Sum all: $$90+90+85+80+500+48+400+300+200=1793$$ 4. **Calculate each proportion:** - 35% of 1793: $$0.35 \times 1793 = 627.55$$ - 15% of 1793: $$0.15 \times 1793 = 268.95$$ - 50% of 1793: $$0.50 \times 1793 = 896.5$$ 5. **Interpretation:** The numbers proportioned according to 35%, 15%, and 50% are approximately 627.55, 268.95, and 896.5 respectively. This means if you want to split the total sum 1793 into parts proportional to 35%, 15%, and 50%, these are the amounts for each part.