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Finding the Fourth Proportional to 31,757.17, 47,632.08 and 8,385.43

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Solution

The fourth proportional to 31,757.17, 47,632.08 and 8,385.43 is: 12,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.17 : 47,632.08 = 8,385.43 : x
  2. Step 2: Convert to fraction form
    31,757.17/47,632.08 = 8,385.43/x
  3. Step 3: Cross multiply
    31,757.17x = 47,632.08 × 8,385.43
  4. Step 4: Simplify right side
    31,757.17x = 399,415,472.59
  5. Step 5: Solve for x
    x = 399,415,472.59/31,757.17
  6. Step 6: Final answer
    x = 12,577.17

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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.