Finding the Fourth Proportional to 31,578,013.87, 47,318,197.17 and 24,645,054.68
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Solution
The fourth proportional to 31,578,013.87, 47,318,197.17 and 24,645,054.68 is: 36,929,477.63
Step by Step Solution
- Step 1: Write the proportion equation
31,578,013.87 : 47,318,197.17 = 24,645,054.68 : x - Step 2: Convert to fraction form
31,578,013.87/47,318,197.17 = 24,645,054.68/x - Step 3: Cross multiply
31,578,013.87x = 47,318,197.17 × 24,645,054.68 - Step 4: Simplify right side
31,578,013.87x = 1,166,159,556,913,107.25 - Step 5: Solve for x
x = 1,166,159,556,913,107.25/31,578,013.87 - Step 6: Final answer
x = 36,929,477.63
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.