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Finding the Fourth Proportional to 38,481.80, 57,744.30 and 16,291.40

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Solution

The fourth proportional to 38,481.80, 57,744.30 and 16,291.40 is: 24,446.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,481.80 : 57,744.30 = 16,291.40 : x
  2. Step 2: Convert to fraction form
    38,481.80/57,744.30 = 16,291.40/x
  3. Step 3: Cross multiply
    38,481.80x = 57,744.30 × 16,291.40
  4. Step 4: Simplify right side
    38,481.80x = 940,735,489.02
  5. Step 5: Solve for x
    x = 940,735,489.02/38,481.80
  6. Step 6: Final answer
    x = 24,446.24

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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.