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Finding the Fourth Proportional to 69,223.48, 103,843.92 and 27,098.14

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Solution

The fourth proportional to 69,223.48, 103,843.92 and 27,098.14 is: 40,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,223.48 : 103,843.92 = 27,098.14 : x
  2. Step 2: Convert to fraction form
    69,223.48/103,843.92 = 27,098.14/x
  3. Step 3: Cross multiply
    69,223.48x = 103,843.92 × 27,098.14
  4. Step 4: Simplify right side
    69,223.48x = 2,813,977,082.31
  5. Step 5: Solve for x
    x = 2,813,977,082.31/69,223.48
  6. Step 6: Final answer
    x = 40,650.62

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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.