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Finding the Fourth Proportional to 31,245.96, 43,120.52 and 17,098.80

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Solution

The fourth proportional to 31,245.96, 43,120.52 and 17,098.80 is: 23,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.96 : 43,120.52 = 17,098.80 : x
  2. Step 2: Convert to fraction form
    31,245.96/43,120.52 = 17,098.80/x
  3. Step 3: Cross multiply
    31,245.96x = 43,120.52 × 17,098.80
  4. Step 4: Simplify right side
    31,245.96x = 737,309,147.38
  5. Step 5: Solve for x
    x = 737,309,147.38/31,245.96
  6. Step 6: Final answer
    x = 23,596.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.