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Finding the Fourth Proportional to 31,430.92, 47,149.16 and 8,057.36

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Solution

The fourth proportional to 31,430.92, 47,149.16 and 8,057.36 is: 12,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,430.92 : 47,149.16 = 8,057.36 : x
  2. Step 2: Convert to fraction form
    31,430.92/47,149.16 = 8,057.36/x
  3. Step 3: Cross multiply
    31,430.92x = 47,149.16 × 8,057.36
  4. Step 4: Simplify right side
    31,430.92x = 379,897,755.82
  5. Step 5: Solve for x
    x = 379,897,755.82/31,430.92
  6. Step 6: Final answer
    x = 12,086.75

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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.