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Finding the Fourth Proportional to 31,531.50, 47,304.74 and 10,755

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Solution

The fourth proportional to 31,531.50, 47,304.74 and 10,755 is: 16,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,531.50 : 47,304.74 = 10,755 : x
  2. Step 2: Convert to fraction form
    31,531.50/47,304.74 = 10,755/x
  3. Step 3: Cross multiply
    31,531.50x = 47,304.74 × 10,755
  4. Step 4: Simplify right side
    31,531.50x = 508,762,505.59
  5. Step 5: Solve for x
    x = 508,762,505.59/31,531.50
  6. Step 6: Final answer
    x = 16,135.06

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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.