1. The problem asks for the sum of all positive terms in the geometric sequence 50, -40, 32, ... 2. Identify the first term $a_1 = 50$ and the common ratio $r = \frac{-40}{50} = -0.8$. 3. The terms alternate in sign because $r$ is negative. 4. Positive terms occur at odd positions: 1st, 3rd, 5th, ... 5. The positive terms form a subsequence with first term $a_1 = 50$ and common ratio $r^2 = (-0.8)^2 = 0.64$. 6. The sum of an infinite geometric series with first term $a$ and ratio $r$ where $|r|<1$ is $S = \frac{a}{1-r}$. 7. Here, sum of positive terms $S = \frac{50}{1-0.64} = \frac{50}{0.36} = \frac{1250}{9} \approx 138.89$. 8. Therefore, the sum of all positive terms in the sequence is $\boxed{\frac{1250}{9}}$ or approximately 138.89.