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Finding the Fourth Proportional to 31,600.62, 47,425.41 and 11,897.10

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Solution

The fourth proportional to 31,600.62, 47,425.41 and 11,897.10 is: 17,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.62 : 47,425.41 = 11,897.10 : x
  2. Step 2: Convert to fraction form
    31,600.62/47,425.41 = 11,897.10/x
  3. Step 3: Cross multiply
    31,600.62x = 47,425.41 × 11,897.10
  4. Step 4: Simplify right side
    31,600.62x = 564,224,845.31
  5. Step 5: Solve for x
    x = 564,224,845.31/31,600.62
  6. Step 6: Final answer
    x = 17,854.87

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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.