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Finding the Fourth Proportional to 38,206.20, 57,260.70 and 18,442.20

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Solution

The fourth proportional to 38,206.20, 57,260.70 and 18,442.20 is: 27,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.20 : 57,260.70 = 18,442.20 : x
  2. Step 2: Convert to fraction form
    38,206.20/57,260.70 = 18,442.20/x
  3. Step 3: Cross multiply
    38,206.20x = 57,260.70 × 18,442.20
  4. Step 4: Simplify right side
    38,206.20x = 1,056,013,281.54
  5. Step 5: Solve for x
    x = 1,056,013,281.54/38,206.20
  6. Step 6: Final answer
    x = 27,639.84

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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.