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Finding the Fourth Proportional to 83,101.80, 124,615.77 and 23,923.62

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Solution

The fourth proportional to 83,101.80, 124,615.77 and 23,923.62 is: 35,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,101.80 : 124,615.77 = 23,923.62 : x
  2. Step 2: Convert to fraction form
    83,101.80/124,615.77 = 23,923.62/x
  3. Step 3: Cross multiply
    83,101.80x = 124,615.77 × 23,923.62
  4. Step 4: Simplify right side
    83,101.80x = 2,981,260,327.49
  5. Step 5: Solve for x
    x = 2,981,260,327.49/83,101.80
  6. Step 6: Final answer
    x = 35,874.80

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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.