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Finding the Fourth Proportional to 31,417.92, 47,122.02 and 20,402.73

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Solution

The fourth proportional to 31,417.92, 47,122.02 and 20,402.73 is: 30,600.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.92 : 47,122.02 = 20,402.73 : x
  2. Step 2: Convert to fraction form
    31,417.92/47,122.02 = 20,402.73/x
  3. Step 3: Cross multiply
    31,417.92x = 47,122.02 × 20,402.73
  4. Step 4: Simplify right side
    31,417.92x = 961,417,851.11
  5. Step 5: Solve for x
    x = 961,417,851.11/31,417.92
  6. Step 6: Final answer
    x = 30,600.94

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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.