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Finding the Fourth Proportional to 38,633.46, 57,950.19 and 20,161.14

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Solution

The fourth proportional to 38,633.46, 57,950.19 and 20,161.14 is: 30,241.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,633.46 : 57,950.19 = 20,161.14 : x
  2. Step 2: Convert to fraction form
    38,633.46/57,950.19 = 20,161.14/x
  3. Step 3: Cross multiply
    38,633.46x = 57,950.19 × 20,161.14
  4. Step 4: Simplify right side
    38,633.46x = 1,168,341,893.62
  5. Step 5: Solve for x
    x = 1,168,341,893.62/38,633.46
  6. Step 6: Final answer
    x = 30,241.71

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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.