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Finding the Fourth Proportional to 84,003.92, 125,967.96 and 24,818.96

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Solution

The fourth proportional to 84,003.92, 125,967.96 and 24,818.96 is: 37,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,003.92 : 125,967.96 = 24,818.96 : x
  2. Step 2: Convert to fraction form
    84,003.92/125,967.96 = 24,818.96/x
  3. Step 3: Cross multiply
    84,003.92x = 125,967.96 × 24,818.96
  4. Step 4: Simplify right side
    84,003.92x = 3,126,393,760.52
  5. Step 5: Solve for x
    x = 3,126,393,760.52/84,003.92
  6. Step 6: Final answer
    x = 37,217.24

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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.