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Finding the Fourth Proportional to 50,489.40, 75,734.10 and 20,964.90

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Solution

The fourth proportional to 50,489.40, 75,734.10 and 20,964.90 is: 31,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,489.40 : 75,734.10 = 20,964.90 : x
  2. Step 2: Convert to fraction form
    50,489.40/75,734.10 = 20,964.90/x
  3. Step 3: Cross multiply
    50,489.40x = 75,734.10 × 20,964.90
  4. Step 4: Simplify right side
    50,489.40x = 1,587,757,833.09
  5. Step 5: Solve for x
    x = 1,587,757,833.09/50,489.40
  6. Step 6: Final answer
    x = 31,447.35

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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.