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Finding the Fourth Proportional to 33,102.52, 49,657.66 and 12,052.42

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Solution

The fourth proportional to 33,102.52, 49,657.66 and 12,052.42 is: 18,080.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.52 : 49,657.66 = 12,052.42 : x
  2. Step 2: Convert to fraction form
    33,102.52/49,657.66 = 12,052.42/x
  3. Step 3: Cross multiply
    33,102.52x = 49,657.66 × 12,052.42
  4. Step 4: Simplify right side
    33,102.52x = 598,494,959.92
  5. Step 5: Solve for x
    x = 598,494,959.92/33,102.52
  6. Step 6: Final answer
    x = 18,080.04

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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.