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Finding the Fourth Proportional to 57,568, 86,354.88 and 54,538.24

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Solution

The fourth proportional to 57,568, 86,354.88 and 54,538.24 is: 81,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,568 : 86,354.88 = 54,538.24 : x
  2. Step 2: Convert to fraction form
    57,568/86,354.88 = 54,538.24/x
  3. Step 3: Cross multiply
    57,568x = 86,354.88 × 54,538.24
  4. Step 4: Simplify right side
    57,568x = 4,709,643,170.61
  5. Step 5: Solve for x
    x = 4,709,643,170.61/57,568
  6. Step 6: Final answer
    x = 81,810.09

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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.