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Finding the Fourth Proportional to 38,585.20, 57,845.40 and 20,117.20

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Solution

The fourth proportional to 38,585.20, 57,845.40 and 20,117.20 is: 30,158.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,585.20 : 57,845.40 = 20,117.20 : x
  2. Step 2: Convert to fraction form
    38,585.20/57,845.40 = 20,117.20/x
  3. Step 3: Cross multiply
    38,585.20x = 57,845.40 × 20,117.20
  4. Step 4: Simplify right side
    38,585.20x = 1,163,687,480.88
  5. Step 5: Solve for x
    x = 1,163,687,480.88/38,585.20
  6. Step 6: Final answer
    x = 30,158.91

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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.