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Finding the Fourth Proportional to 39,202.20, 54,098.28 and 22,205.16

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Solution

The fourth proportional to 39,202.20, 54,098.28 and 22,205.16 is: 30,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202.20 : 54,098.28 = 22,205.16 : x
  2. Step 2: Convert to fraction form
    39,202.20/54,098.28 = 22,205.16/x
  3. Step 3: Cross multiply
    39,202.20x = 54,098.28 × 22,205.16
  4. Step 4: Simplify right side
    39,202.20x = 1,201,260,963.12
  5. Step 5: Solve for x
    x = 1,201,260,963.12/39,202.20
  6. Step 6: Final answer
    x = 30,642.69

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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.