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Finding the Fourth Proportional to 84,033.28, 126,049.56 and 24,869.32

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Solution

The fourth proportional to 84,033.28, 126,049.56 and 24,869.32 is: 37,303.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,033.28 : 126,049.56 = 24,869.32 : x
  2. Step 2: Convert to fraction form
    84,033.28/126,049.56 = 24,869.32/x
  3. Step 3: Cross multiply
    84,033.28x = 126,049.56 × 24,869.32
  4. Step 4: Simplify right side
    84,033.28x = 3,134,766,843.50
  5. Step 5: Solve for x
    x = 3,134,766,843.50/84,033.28
  6. Step 6: Final answer
    x = 37,303.87

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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.