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Finding the Fourth Proportional to 38,482.38, 57,684.37 and 24,452.77

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Solution

The fourth proportional to 38,482.38, 57,684.37 and 24,452.77 is: 36,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,482.38 : 57,684.37 = 24,452.77 : x
  2. Step 2: Convert to fraction form
    38,482.38/57,684.37 = 24,452.77/x
  3. Step 3: Cross multiply
    38,482.38x = 57,684.37 × 24,452.77
  4. Step 4: Simplify right side
    38,482.38x = 1,410,542,632.20
  5. Step 5: Solve for x
    x = 1,410,542,632.20/38,482.38
  6. Step 6: Final answer
    x = 36,654.25

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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.