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Finding the Fourth Proportional to 33,211.32, 49,816.20 and 8,251.44

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Solution

The fourth proportional to 33,211.32, 49,816.20 and 8,251.44 is: 12,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,211.32 : 49,816.20 = 8,251.44 : x
  2. Step 2: Convert to fraction form
    33,211.32/49,816.20 = 8,251.44/x
  3. Step 3: Cross multiply
    33,211.32x = 49,816.20 × 8,251.44
  4. Step 4: Simplify right side
    33,211.32x = 411,055,385.33
  5. Step 5: Solve for x
    x = 411,055,385.33/33,211.32
  6. Step 6: Final answer
    x = 12,376.97

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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.