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Finding the Fourth Proportional to 83,978.92, 125,989.08 and 24,814.36

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Solution

The fourth proportional to 83,978.92, 125,989.08 and 24,814.36 is: 37,227.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,978.92 : 125,989.08 = 24,814.36 : x
  2. Step 2: Convert to fraction form
    83,978.92/125,989.08 = 24,814.36/x
  3. Step 3: Cross multiply
    83,978.92x = 125,989.08 × 24,814.36
  4. Step 4: Simplify right side
    83,978.92x = 3,126,338,387.19
  5. Step 5: Solve for x
    x = 3,126,338,387.19/83,978.92
  6. Step 6: Final answer
    x = 37,227.66

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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.