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Finding the Fourth Proportional to 80,716.38, 111,443.46 and 50,513.90

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Solution

The fourth proportional to 80,716.38, 111,443.46 and 50,513.90 is: 69,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716.38 : 111,443.46 = 50,513.90 : x
  2. Step 2: Convert to fraction form
    80,716.38/111,443.46 = 50,513.90/x
  3. Step 3: Cross multiply
    80,716.38x = 111,443.46 × 50,513.90
  4. Step 4: Simplify right side
    80,716.38x = 5,629,443,794.09
  5. Step 5: Solve for x
    x = 5,629,443,794.09/80,716.38
  6. Step 6: Final answer
    x = 69,743.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.