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Finding the Fourth Proportional to 31,600.87, 47,398.16 and 8,227.31

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Solution

The fourth proportional to 31,600.87, 47,398.16 and 8,227.31 is: 12,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,600.87 : 47,398.16 = 8,227.31 : x
  2. Step 2: Convert to fraction form
    31,600.87/47,398.16 = 8,227.31/x
  3. Step 3: Cross multiply
    31,600.87x = 47,398.16 × 8,227.31
  4. Step 4: Simplify right side
    31,600.87x = 389,959,139.33
  5. Step 5: Solve for x
    x = 389,959,139.33/31,600.87
  6. Step 6: Final answer
    x = 12,340.14

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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.