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Finding the Fourth Proportional to 57,562.74, 86,344.11 and 54,314.10

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Solution

The fourth proportional to 57,562.74, 86,344.11 and 54,314.10 is: 81,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,562.74 : 86,344.11 = 54,314.10 : x
  2. Step 2: Convert to fraction form
    57,562.74/86,344.11 = 54,314.10/x
  3. Step 3: Cross multiply
    57,562.74x = 86,344.11 × 54,314.10
  4. Step 4: Simplify right side
    57,562.74x = 4,689,702,624.95
  5. Step 5: Solve for x
    x = 4,689,702,624.95/57,562.74
  6. Step 6: Final answer
    x = 81,471.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.