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Finding the Fourth Proportional to 71,949.78, 107,863.11 and 27,608.36

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Solution

The fourth proportional to 71,949.78, 107,863.11 and 27,608.36 is: 41,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,949.78 : 107,863.11 = 27,608.36 : x
  2. Step 2: Convert to fraction form
    71,949.78/107,863.11 = 27,608.36/x
  3. Step 3: Cross multiply
    71,949.78x = 107,863.11 × 27,608.36
  4. Step 4: Simplify right side
    71,949.78x = 2,977,923,032.28
  5. Step 5: Solve for x
    x = 2,977,923,032.28/71,949.78
  6. Step 6: Final answer
    x = 41,388.91

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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.