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Finding the Fourth Proportional to 71,227.91, 106,847.48 and 23,843.27

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Solution

The fourth proportional to 71,227.91, 106,847.48 and 23,843.27 is: 35,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,227.91 : 106,847.48 = 23,843.27 : x
  2. Step 2: Convert to fraction form
    71,227.91/106,847.48 = 23,843.27/x
  3. Step 3: Cross multiply
    71,227.91x = 106,847.48 × 23,843.27
  4. Step 4: Simplify right side
    71,227.91x = 2,547,592,661.01
  5. Step 5: Solve for x
    x = 2,547,592,661.01/71,227.91
  6. Step 6: Final answer
    x = 35,766.78

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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.