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Finding the Fourth Proportional to 61,453.28, 92,234.87 and 31,487.96

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Solution

The fourth proportional to 61,453.28, 92,234.87 and 31,487.96 is: 47,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,453.28 : 92,234.87 = 31,487.96 : x
  2. Step 2: Convert to fraction form
    61,453.28/92,234.87 = 31,487.96/x
  3. Step 3: Cross multiply
    61,453.28x = 92,234.87 × 31,487.96
  4. Step 4: Simplify right side
    61,453.28x = 2,904,287,897.17
  5. Step 5: Solve for x
    x = 2,904,287,897.17/61,453.28
  6. Step 6: Final answer
    x = 47,260.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.