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Finding the Fourth Proportional to 31,193.25, 43,046.69 and 17,046.06

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Solution

The fourth proportional to 31,193.25, 43,046.69 and 17,046.06 is: 23,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.25 : 43,046.69 = 17,046.06 : x
  2. Step 2: Convert to fraction form
    31,193.25/43,046.69 = 17,046.06/x
  3. Step 3: Cross multiply
    31,193.25x = 43,046.69 × 17,046.06
  4. Step 4: Simplify right side
    31,193.25x = 733,776,375.31
  5. Step 5: Solve for x
    x = 733,776,375.31/31,193.25
  6. Step 6: Final answer
    x = 23,523.56

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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.