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Finding the Fourth Proportional to 38,212.20, 57,269.70 and 18,448.20

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Solution

The fourth proportional to 38,212.20, 57,269.70 and 18,448.20 is: 27,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,212.20 : 57,269.70 = 18,448.20 : x
  2. Step 2: Convert to fraction form
    38,212.20/57,269.70 = 18,448.20/x
  3. Step 3: Cross multiply
    38,212.20x = 57,269.70 × 18,448.20
  4. Step 4: Simplify right side
    38,212.20x = 1,056,522,879.54
  5. Step 5: Solve for x
    x = 1,056,522,879.54/38,212.20
  6. Step 6: Final answer
    x = 27,648.84

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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.