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Finding the Fourth Proportional to 73,243.20, 109,868.40 and 38,251.20

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Solution

The fourth proportional to 73,243.20, 109,868.40 and 38,251.20 is: 57,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,243.20 : 109,868.40 = 38,251.20 : x
  2. Step 2: Convert to fraction form
    73,243.20/109,868.40 = 38,251.20/x
  3. Step 3: Cross multiply
    73,243.20x = 109,868.40 × 38,251.20
  4. Step 4: Simplify right side
    73,243.20x = 4,202,598,142.08
  5. Step 5: Solve for x
    x = 4,202,598,142.08/73,243.20
  6. Step 6: Final answer
    x = 57,378.68

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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.