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Finding the Fourth Proportional to 57,468.14, 86,202.22 and 15,915.14

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Solution

The fourth proportional to 57,468.14, 86,202.22 and 15,915.14 is: 23,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.14 : 86,202.22 = 15,915.14 : x
  2. Step 2: Convert to fraction form
    57,468.14/86,202.22 = 15,915.14/x
  3. Step 3: Cross multiply
    57,468.14x = 86,202.22 × 15,915.14
  4. Step 4: Simplify right side
    57,468.14x = 1,371,920,575.33
  5. Step 5: Solve for x
    x = 1,371,920,575.33/57,468.14
  6. Step 6: Final answer
    x = 23,872.71

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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.