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Finding the Fourth Proportional to 38,344.28, 52,901.41 and 22,202.78

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Solution

The fourth proportional to 38,344.28, 52,901.41 and 22,202.78 is: 30,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,344.28 : 52,901.41 = 22,202.78 : x
  2. Step 2: Convert to fraction form
    38,344.28/52,901.41 = 22,202.78/x
  3. Step 3: Cross multiply
    38,344.28x = 52,901.41 × 22,202.78
  4. Step 4: Simplify right side
    38,344.28x = 1,174,558,367.92
  5. Step 5: Solve for x
    x = 1,174,558,367.92/38,344.28
  6. Step 6: Final answer
    x = 30,631.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.