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Finding the Fourth Proportional to 66,592.92, 91,902.48 and 38,298

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Solution

The fourth proportional to 66,592.92, 91,902.48 and 38,298 is: 52,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592.92 : 91,902.48 = 38,298 : x
  2. Step 2: Convert to fraction form
    66,592.92/91,902.48 = 38,298/x
  3. Step 3: Cross multiply
    66,592.92x = 91,902.48 × 38,298
  4. Step 4: Simplify right side
    66,592.92x = 3,519,681,179.04
  5. Step 5: Solve for x
    x = 3,519,681,179.04/66,592.92
  6. Step 6: Final answer
    x = 52,853.68

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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.