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Finding the Fourth Proportional to 38,200.80, 57,317.40 and 18,469.20

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Solution

The fourth proportional to 38,200.80, 57,317.40 and 18,469.20 is: 27,711.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.80 : 57,317.40 = 18,469.20 : x
  2. Step 2: Convert to fraction form
    38,200.80/57,317.40 = 18,469.20/x
  3. Step 3: Cross multiply
    38,200.80x = 57,317.40 × 18,469.20
  4. Step 4: Simplify right side
    38,200.80x = 1,058,606,524.08
  5. Step 5: Solve for x
    x = 1,058,606,524.08/38,200.80
  6. Step 6: Final answer
    x = 27,711.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.