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Finding the Fourth Proportional to 62,419.32, 86,138.96 and 34,125

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Solution

The fourth proportional to 62,419.32, 86,138.96 and 34,125 is: 47,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,419.32 : 86,138.96 = 34,125 : x
  2. Step 2: Convert to fraction form
    62,419.32/86,138.96 = 34,125/x
  3. Step 3: Cross multiply
    62,419.32x = 86,138.96 × 34,125
  4. Step 4: Simplify right side
    62,419.32x = 2,939,491,839.38
  5. Step 5: Solve for x
    x = 2,939,491,839.38/62,419.32
  6. Step 6: Final answer
    x = 47,092.66

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Why These Related Problems?

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