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Finding the Fourth Proportional to 32,189.46, 44,421.39 and 19,614.21

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Solution

The fourth proportional to 32,189.46, 44,421.39 and 19,614.21 is: 27,067.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.46 : 44,421.39 = 19,614.21 : x
  2. Step 2: Convert to fraction form
    32,189.46/44,421.39 = 19,614.21/x
  3. Step 3: Cross multiply
    32,189.46x = 44,421.39 × 19,614.21
  4. Step 4: Simplify right side
    32,189.46x = 871,290,471.95
  5. Step 5: Solve for x
    x = 871,290,471.95/32,189.46
  6. Step 6: Final answer
    x = 27,067.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.