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Finding the Fourth Proportional to 67,584.62, 101,351.72 and 23,198.78

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Solution

The fourth proportional to 67,584.62, 101,351.72 and 23,198.78 is: 34,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,584.62 : 101,351.72 = 23,198.78 : x
  2. Step 2: Convert to fraction form
    67,584.62/101,351.72 = 23,198.78/x
  3. Step 3: Cross multiply
    67,584.62x = 101,351.72 × 23,198.78
  4. Step 4: Simplify right side
    67,584.62x = 2,351,236,254.90
  5. Step 5: Solve for x
    x = 2,351,236,254.90/67,584.62
  6. Step 6: Final answer
    x = 34,789.52

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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.