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Finding the Fourth Proportional to 73,202.46, 109,720.02 and 33,251.90

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Solution

The fourth proportional to 73,202.46, 109,720.02 and 33,251.90 is: 49,839.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,202.46 : 109,720.02 = 33,251.90 : x
  2. Step 2: Convert to fraction form
    73,202.46/109,720.02 = 33,251.90/x
  3. Step 3: Cross multiply
    73,202.46x = 109,720.02 × 33,251.90
  4. Step 4: Simplify right side
    73,202.46x = 3,648,399,133.04
  5. Step 5: Solve for x
    x = 3,648,399,133.04/73,202.46
  6. Step 6: Final answer
    x = 49,839.84

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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.