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Finding the Fourth Proportional to 54,591.92, 75,321.71 and 32,782.57

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Solution

The fourth proportional to 54,591.92, 75,321.71 and 32,782.57 is: 45,230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591.92 : 75,321.71 = 32,782.57 : x
  2. Step 2: Convert to fraction form
    54,591.92/75,321.71 = 32,782.57/x
  3. Step 3: Cross multiply
    54,591.92x = 75,321.71 × 32,782.57
  4. Step 4: Simplify right side
    54,591.92x = 2,469,239,221.02
  5. Step 5: Solve for x
    x = 2,469,239,221.02/54,591.92
  6. Step 6: Final answer
    x = 45,230.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.