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Finding the Fourth Proportional to 31,411.85, 47,123.54 and 10,353.13

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Solution

The fourth proportional to 31,411.85, 47,123.54 and 10,353.13 is: 15,531.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,411.85 : 47,123.54 = 10,353.13 : x
  2. Step 2: Convert to fraction form
    31,411.85/47,123.54 = 10,353.13/x
  3. Step 3: Cross multiply
    31,411.85x = 47,123.54 × 10,353.13
  4. Step 4: Simplify right side
    31,411.85x = 487,876,135.68
  5. Step 5: Solve for x
    x = 487,876,135.68/31,411.85
  6. Step 6: Final answer
    x = 15,531.60

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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.