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Finding the Fourth Proportional to 71,202.20, 106,717.84 and 33,200.24

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Solution

The fourth proportional to 71,202.20, 106,717.84 and 33,200.24 is: 49,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,202.20 : 106,717.84 = 33,200.24 : x
  2. Step 2: Convert to fraction form
    71,202.20/106,717.84 = 33,200.24/x
  3. Step 3: Cross multiply
    71,202.20x = 106,717.84 × 33,200.24
  4. Step 4: Simplify right side
    71,202.20x = 3,543,057,900.28
  5. Step 5: Solve for x
    x = 3,543,057,900.28/71,202.20
  6. Step 6: Final answer
    x = 49,760.51

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1.5x scale

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.