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Finding the Fourth Proportional to 31,418.92, 47,123.52 and 20,403.73

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Solution

The fourth proportional to 31,418.92, 47,123.52 and 20,403.73 is: 30,602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,418.92 : 47,123.52 = 20,403.73 : x
  2. Step 2: Convert to fraction form
    31,418.92/47,123.52 = 20,403.73/x
  3. Step 3: Cross multiply
    31,418.92x = 47,123.52 × 20,403.73
  4. Step 4: Simplify right side
    31,418.92x = 961,495,578.73
  5. Step 5: Solve for x
    x = 961,495,578.73/31,418.92
  6. Step 6: Final answer
    x = 30,602.44

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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.