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Finding the Fourth Proportional to 83,221.92, 124,814.40 and 24,044.64

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Solution

The fourth proportional to 83,221.92, 124,814.40 and 24,044.64 is: 36,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.92 : 124,814.40 = 24,044.64 : x
  2. Step 2: Convert to fraction form
    83,221.92/124,814.40 = 24,044.64/x
  3. Step 3: Cross multiply
    83,221.92x = 124,814.40 × 24,044.64
  4. Step 4: Simplify right side
    83,221.92x = 3,001,117,314.82
  5. Step 5: Solve for x
    x = 3,001,117,314.82/83,221.92
  6. Step 6: Final answer
    x = 36,061.62

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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.