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Finding the Fourth Proportional to 31,858.52, 43,965.89 and 17,519.44

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Solution

The fourth proportional to 31,858.52, 43,965.89 and 17,519.44 is: 24,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.52 : 43,965.89 = 17,519.44 : x
  2. Step 2: Convert to fraction form
    31,858.52/43,965.89 = 17,519.44/x
  3. Step 3: Cross multiply
    31,858.52x = 43,965.89 × 17,519.44
  4. Step 4: Simplify right side
    31,858.52x = 770,257,771.90
  5. Step 5: Solve for x
    x = 770,257,771.90/31,858.52
  6. Step 6: Final answer
    x = 24,177.45

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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.