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Finding the Fourth Proportional to 126,452.25, 189,689.31 and 32,958

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Solution

The fourth proportional to 126,452.25, 189,689.31 and 32,958 is: 49,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,452.25 : 189,689.31 = 32,958 : x
  2. Step 2: Convert to fraction form
    126,452.25/189,689.31 = 32,958/x
  3. Step 3: Cross multiply
    126,452.25x = 189,689.31 × 32,958
  4. Step 4: Simplify right side
    126,452.25x = 6,251,780,278.98
  5. Step 5: Solve for x
    x = 6,251,780,278.98/126,452.25
  6. Step 6: Final answer
    x = 49,439.85

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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.