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Finding the Fourth Proportional to 33,217.32, 49,825.20 and 8,257.44

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Solution

The fourth proportional to 33,217.32, 49,825.20 and 8,257.44 is: 12,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,217.32 : 49,825.20 = 8,257.44 : x
  2. Step 2: Convert to fraction form
    33,217.32/49,825.20 = 8,257.44/x
  3. Step 3: Cross multiply
    33,217.32x = 49,825.20 × 8,257.44
  4. Step 4: Simplify right side
    33,217.32x = 411,428,599.49
  5. Step 5: Solve for x
    x = 411,428,599.49/33,217.32
  6. Step 6: Final answer
    x = 12,385.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.