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Finding the Fourth Proportional to 71,318.20, 106,928.70 and 33,896.20

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Solution

The fourth proportional to 71,318.20, 106,928.70 and 33,896.20 is: 50,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,318.20 : 106,928.70 = 33,896.20 : x
  2. Step 2: Convert to fraction form
    71,318.20/106,928.70 = 33,896.20/x
  3. Step 3: Cross multiply
    71,318.20x = 106,928.70 × 33,896.20
  4. Step 4: Simplify right side
    71,318.20x = 3,624,476,600.94
  5. Step 5: Solve for x
    x = 3,624,476,600.94/71,318.20
  6. Step 6: Final answer
    x = 50,821.20

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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.