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Finding the Fourth Proportional to 80,714.38, 111,440.70 and 50,511.90

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Solution

The fourth proportional to 80,714.38, 111,440.70 and 50,511.90 is: 69,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,714.38 : 111,440.70 = 50,511.90 : x
  2. Step 2: Convert to fraction form
    80,714.38/111,440.70 = 50,511.90/x
  3. Step 3: Cross multiply
    80,714.38x = 111,440.70 × 50,511.90
  4. Step 4: Simplify right side
    80,714.38x = 5,629,081,494.33
  5. Step 5: Solve for x
    x = 5,629,081,494.33/80,714.38
  6. Step 6: Final answer
    x = 69,740.75

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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.