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Finding the Fourth Proportional to 57,865.12, 79,855.20 and 32,716

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Solution

The fourth proportional to 57,865.12, 79,855.20 and 32,716 is: 45,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,865.12 : 79,855.20 = 32,716 : x
  2. Step 2: Convert to fraction form
    57,865.12/79,855.20 = 32,716/x
  3. Step 3: Cross multiply
    57,865.12x = 79,855.20 × 32,716
  4. Step 4: Simplify right side
    57,865.12x = 2,612,542,723.20
  5. Step 5: Solve for x
    x = 2,612,542,723.20/57,865.12
  6. Step 6: Final answer
    x = 45,148.83

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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.