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Finding the Fourth Proportional to 45,765.92, 68,532.24 and 22,331

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Solution

The fourth proportional to 45,765.92, 68,532.24 and 22,331 is: 33,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,765.92 : 68,532.24 = 22,331 : x
  2. Step 2: Convert to fraction form
    45,765.92/68,532.24 = 22,331/x
  3. Step 3: Cross multiply
    45,765.92x = 68,532.24 × 22,331
  4. Step 4: Simplify right side
    45,765.92x = 1,530,393,451.44
  5. Step 5: Solve for x
    x = 1,530,393,451.44/45,765.92
  6. Step 6: Final answer
    x = 33,439.59

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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.