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Finding the Fourth Proportional to 109,439.17, 164,163.78 and 33,532.27

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Solution

The fourth proportional to 109,439.17, 164,163.78 and 33,532.27 is: 50,299.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,439.17 : 164,163.78 = 33,532.27 : x
  2. Step 2: Convert to fraction form
    109,439.17/164,163.78 = 33,532.27/x
  3. Step 3: Cross multiply
    109,439.17x = 164,163.78 × 33,532.27
  4. Step 4: Simplify right side
    109,439.17x = 5,504,784,195.18
  5. Step 5: Solve for x
    x = 5,504,784,195.18/109,439.17
  6. Step 6: Final answer
    x = 50,299.94

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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.