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Finding the Fourth Proportional to 80,715.38, 111,442.08 and 50,512.90

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Solution

The fourth proportional to 80,715.38, 111,442.08 and 50,512.90 is: 69,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,715.38 : 111,442.08 = 50,512.90 : x
  2. Step 2: Convert to fraction form
    80,715.38/111,442.08 = 50,512.90/x
  3. Step 3: Cross multiply
    80,715.38x = 111,442.08 × 50,512.90
  4. Step 4: Simplify right side
    80,715.38x = 5,629,262,642.83
  5. Step 5: Solve for x
    x = 5,629,262,642.83/80,715.38
  6. Step 6: Final answer
    x = 69,742.13

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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.