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Finding the Fourth Proportional to 97,508.78, 146,251.82 and 27,394.10

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Solution

The fourth proportional to 97,508.78, 146,251.82 and 27,394.10 is: 41,087.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508.78 : 146,251.82 = 27,394.10 : x
  2. Step 2: Convert to fraction form
    97,508.78/146,251.82 = 27,394.10/x
  3. Step 3: Cross multiply
    97,508.78x = 146,251.82 × 27,394.10
  4. Step 4: Simplify right side
    97,508.78x = 4,006,436,982.26
  5. Step 5: Solve for x
    x = 4,006,436,982.26/97,508.78
  6. Step 6: Final answer
    x = 41,087.96

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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.