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Finding the Fourth Proportional to 31,727.31, 47,591.07 and 8,034.85

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Solution

The fourth proportional to 31,727.31, 47,591.07 and 8,034.85 is: 12,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,727.31 : 47,591.07 = 8,034.85 : x
  2. Step 2: Convert to fraction form
    31,727.31/47,591.07 = 8,034.85/x
  3. Step 3: Cross multiply
    31,727.31x = 47,591.07 × 8,034.85
  4. Step 4: Simplify right side
    31,727.31x = 382,386,870.83
  5. Step 5: Solve for x
    x = 382,386,870.83/31,727.31
  6. Step 6: Final answer
    x = 12,052.30

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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.