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Finding the Fourth Proportional to 83,661.60, 125,483.22 and 24,497.86

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Solution

The fourth proportional to 83,661.60, 125,483.22 and 24,497.86 is: 36,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,661.60 : 125,483.22 = 24,497.86 : x
  2. Step 2: Convert to fraction form
    83,661.60/125,483.22 = 24,497.86/x
  3. Step 3: Cross multiply
    83,661.60x = 125,483.22 × 24,497.86
  4. Step 4: Simplify right side
    83,661.60x = 3,074,070,355.91
  5. Step 5: Solve for x
    x = 3,074,070,355.91/83,661.60
  6. Step 6: Final answer
    x = 36,744.10

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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.