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Finding the Fourth Proportional to 31,221.57, 43,085.88 and 17,074.38

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Solution

The fourth proportional to 31,221.57, 43,085.88 and 17,074.38 is: 23,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.57 : 43,085.88 = 17,074.38 : x
  2. Step 2: Convert to fraction form
    31,221.57/43,085.88 = 17,074.38/x
  3. Step 3: Cross multiply
    31,221.57x = 43,085.88 × 17,074.38
  4. Step 4: Simplify right side
    31,221.57x = 735,664,687.75
  5. Step 5: Solve for x
    x = 735,664,687.75/31,221.57
  6. Step 6: Final answer
    x = 23,562.71

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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.