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Finding the Fourth Proportional to 41,602.60, 62,403.90 and 31,761.10

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Solution

The fourth proportional to 41,602.60, 62,403.90 and 31,761.10 is: 47,641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,602.60 : 62,403.90 = 31,761.10 : x
  2. Step 2: Convert to fraction form
    41,602.60/62,403.90 = 31,761.10/x
  3. Step 3: Cross multiply
    41,602.60x = 62,403.90 × 31,761.10
  4. Step 4: Simplify right side
    41,602.60x = 1,982,016,508.29
  5. Step 5: Solve for x
    x = 1,982,016,508.29/41,602.60
  6. Step 6: Final answer
    x = 47,641.65

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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.