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Finding the Fourth Proportional to 57,715.20, 86,580.90 and 18,268.20

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Solution

The fourth proportional to 57,715.20, 86,580.90 and 18,268.20 is: 27,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.20 : 86,580.90 = 18,268.20 : x
  2. Step 2: Convert to fraction form
    57,715.20/86,580.90 = 18,268.20/x
  3. Step 3: Cross multiply
    57,715.20x = 86,580.90 × 18,268.20
  4. Step 4: Simplify right side
    57,715.20x = 1,581,677,197.38
  5. Step 5: Solve for x
    x = 1,581,677,197.38/57,715.20
  6. Step 6: Final answer
    x = 27,404.86

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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.