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Finding the Fourth Proportional to 71,375.52, 107,064.54 and 27,023.16

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Solution

The fourth proportional to 71,375.52, 107,064.54 and 27,023.16 is: 40,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.52 : 107,064.54 = 27,023.16 : x
  2. Step 2: Convert to fraction form
    71,375.52/107,064.54 = 27,023.16/x
  3. Step 3: Cross multiply
    71,375.52x = 107,064.54 × 27,023.16
  4. Step 4: Simplify right side
    71,375.52x = 2,893,222,194.75
  5. Step 5: Solve for x
    x = 2,893,222,194.75/71,375.52
  6. Step 6: Final answer
    x = 40,535.22

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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.