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Finding the Fourth Proportional to 38,204.20, 57,257.70 and 18,440.20

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Solution

The fourth proportional to 38,204.20, 57,257.70 and 18,440.20 is: 27,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.20 : 57,257.70 = 18,440.20 : x
  2. Step 2: Convert to fraction form
    38,204.20/57,257.70 = 18,440.20/x
  3. Step 3: Cross multiply
    38,204.20x = 57,257.70 × 18,440.20
  4. Step 4: Simplify right side
    38,204.20x = 1,055,843,439.54
  5. Step 5: Solve for x
    x = 1,055,843,439.54/38,204.20
  6. Step 6: Final answer
    x = 27,636.84

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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.