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Finding the Fourth Proportional to 72,231.75, 108,332.24 and 27,843.75

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Solution

The fourth proportional to 72,231.75, 108,332.24 and 27,843.75 is: 41,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,231.75 : 108,332.24 = 27,843.75 : x
  2. Step 2: Convert to fraction form
    72,231.75/108,332.24 = 27,843.75/x
  3. Step 3: Cross multiply
    72,231.75x = 108,332.24 × 27,843.75
  4. Step 4: Simplify right side
    72,231.75x = 3,016,375,668.28
  5. Step 5: Solve for x
    x = 3,016,375,668.28/72,231.75
  6. Step 6: Final answer
    x = 41,759.69

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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.