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Finding the Fourth Proportional to 31,414.95, 47,122.83 and 8,040.78

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Solution

The fourth proportional to 31,414.95, 47,122.83 and 8,040.78 is: 12,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.95 : 47,122.83 = 8,040.78 : x
  2. Step 2: Convert to fraction form
    31,414.95/47,122.83 = 8,040.78/x
  3. Step 3: Cross multiply
    31,414.95x = 47,122.83 × 8,040.78
  4. Step 4: Simplify right side
    31,414.95x = 378,904,309.01
  5. Step 5: Solve for x
    x = 378,904,309.01/31,414.95
  6. Step 6: Final answer
    x = 12,061.27

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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.