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Finding the Fourth Proportional to 38,286.26, 57,426.29 and 24,205.22

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Solution

The fourth proportional to 38,286.26, 57,426.29 and 24,205.22 is: 36,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286.26 : 57,426.29 = 24,205.22 : x
  2. Step 2: Convert to fraction form
    38,286.26/57,426.29 = 24,205.22/x
  3. Step 3: Cross multiply
    38,286.26x = 57,426.29 × 24,205.22
  4. Step 4: Simplify right side
    38,286.26x = 1,390,015,862.21
  5. Step 5: Solve for x
    x = 1,390,015,862.21/38,286.26
  6. Step 6: Final answer
    x = 36,305.87

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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.