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Finding the Fourth Proportional to 83,091.20, 124,636.80 and 33,843.20

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Solution

The fourth proportional to 83,091.20, 124,636.80 and 33,843.20 is: 50,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,091.20 : 124,636.80 = 33,843.20 : x
  2. Step 2: Convert to fraction form
    83,091.20/124,636.80 = 33,843.20/x
  3. Step 3: Cross multiply
    83,091.20x = 124,636.80 × 33,843.20
  4. Step 4: Simplify right side
    83,091.20x = 4,218,108,149.76
  5. Step 5: Solve for x
    x = 4,218,108,149.76/83,091.20
  6. Step 6: Final answer
    x = 50,764.80

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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.