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Finding the Fourth Proportional to 38,025.20, 57,102.60 and 27,009.20

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Solution

The fourth proportional to 38,025.20, 57,102.60 and 27,009.20 is: 40,559.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,025.20 : 57,102.60 = 27,009.20 : x
  2. Step 2: Convert to fraction form
    38,025.20/57,102.60 = 27,009.20/x
  3. Step 3: Cross multiply
    38,025.20x = 57,102.60 × 27,009.20
  4. Step 4: Simplify right side
    38,025.20x = 1,542,295,543.92
  5. Step 5: Solve for x
    x = 1,542,295,543.92/38,025.20
  6. Step 6: Final answer
    x = 40,559.83

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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.