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Finding the Fourth Proportional to 92,146.88, 138,132.75 and 36,022.97

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Solution

The fourth proportional to 92,146.88, 138,132.75 and 36,022.97 is: 54,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,146.88 : 138,132.75 = 36,022.97 : x
  2. Step 2: Convert to fraction form
    92,146.88/138,132.75 = 36,022.97/x
  3. Step 3: Cross multiply
    92,146.88x = 138,132.75 × 36,022.97
  4. Step 4: Simplify right side
    92,146.88x = 4,975,951,909.27
  5. Step 5: Solve for x
    x = 4,975,951,909.27/92,146.88
  6. Step 6: Final answer
    x = 54,000.22

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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.