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Finding the Fourth Proportional to 38,686.80, 57,965.40 and 25,532.40

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Solution

The fourth proportional to 38,686.80, 57,965.40 and 25,532.40 is: 38,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,686.80 : 57,965.40 = 25,532.40 : x
  2. Step 2: Convert to fraction form
    38,686.80/57,965.40 = 25,532.40/x
  3. Step 3: Cross multiply
    38,686.80x = 57,965.40 × 25,532.40
  4. Step 4: Simplify right side
    38,686.80x = 1,479,995,778.96
  5. Step 5: Solve for x
    x = 1,479,995,778.96/38,686.80
  6. Step 6: Final answer
    x = 38,255.83

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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.