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Finding the Fourth Proportional to 108,542.40, 162,842.40 and 38,414.40

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Solution

The fourth proportional to 108,542.40, 162,842.40 and 38,414.40 is: 57,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,542.40 : 162,842.40 = 38,414.40 : x
  2. Step 2: Convert to fraction form
    108,542.40/162,842.40 = 38,414.40/x
  3. Step 3: Cross multiply
    108,542.40x = 162,842.40 × 38,414.40
  4. Step 4: Simplify right side
    108,542.40x = 6,255,493,090.56
  5. Step 5: Solve for x
    x = 6,255,493,090.56/108,542.40
  6. Step 6: Final answer
    x = 57,631.79

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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.