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Finding the Fourth Proportional to 72,759.85, 109,144.38 and 22,841.92

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Solution

The fourth proportional to 72,759.85, 109,144.38 and 22,841.92 is: 34,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,759.85 : 109,144.38 = 22,841.92 : x
  2. Step 2: Convert to fraction form
    72,759.85/109,144.38 = 22,841.92/x
  3. Step 3: Cross multiply
    72,759.85x = 109,144.38 × 22,841.92
  4. Step 4: Simplify right side
    72,759.85x = 2,493,067,196.41
  5. Step 5: Solve for x
    x = 2,493,067,196.41/72,759.85
  6. Step 6: Final answer
    x = 34,264.33

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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.