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Finding the Fourth Proportional to 57,257.52, 85,892.17 and 19,817.54

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Solution

The fourth proportional to 57,257.52, 85,892.17 and 19,817.54 is: 29,728.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,257.52 : 85,892.17 = 19,817.54 : x
  2. Step 2: Convert to fraction form
    57,257.52/85,892.17 = 19,817.54/x
  3. Step 3: Cross multiply
    57,257.52x = 85,892.17 × 19,817.54
  4. Step 4: Simplify right side
    57,257.52x = 1,702,171,209.08
  5. Step 5: Solve for x
    x = 1,702,171,209.08/57,257.52
  6. Step 6: Final answer
    x = 29,728.34

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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.