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Finding the Fourth Proportional to 31,402.92, 47,103.30 and 8,029.56

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Solution

The fourth proportional to 31,402.92, 47,103.30 and 8,029.56 is: 12,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.92 : 47,103.30 = 8,029.56 : x
  2. Step 2: Convert to fraction form
    31,402.92/47,103.30 = 8,029.56/x
  3. Step 3: Cross multiply
    31,402.92x = 47,103.30 × 8,029.56
  4. Step 4: Simplify right side
    31,402.92x = 378,218,773.55
  5. Step 5: Solve for x
    x = 378,218,773.55/31,402.92
  6. Step 6: Final answer
    x = 12,044.06

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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.