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Finding the Fourth Proportional to 57,198.15, 85,766.04 and 17,211.29

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Solution

The fourth proportional to 57,198.15, 85,766.04 and 17,211.29 is: 25,807.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,198.15 : 85,766.04 = 17,211.29 : x
  2. Step 2: Convert to fraction form
    57,198.15/85,766.04 = 17,211.29/x
  3. Step 3: Cross multiply
    57,198.15x = 85,766.04 × 17,211.29
  4. Step 4: Simplify right side
    57,198.15x = 1,476,143,757.76
  5. Step 5: Solve for x
    x = 1,476,143,757.76/57,198.15
  6. Step 6: Final answer
    x = 25,807.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.