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Finding the Fourth Proportional to 97,876.62, 146,863.53 and 38,754.72

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Solution

The fourth proportional to 97,876.62, 146,863.53 and 38,754.72 is: 58,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,876.62 : 146,863.53 = 38,754.72 : x
  2. Step 2: Convert to fraction form
    97,876.62/146,863.53 = 38,754.72/x
  3. Step 3: Cross multiply
    97,876.62x = 146,863.53 × 38,754.72
  4. Step 4: Simplify right side
    97,876.62x = 5,691,654,983.36
  5. Step 5: Solve for x
    x = 5,691,654,983.36/97,876.62
  6. Step 6: Final answer
    x = 58,151.32

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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.