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Finding the Fourth Proportional to 31,853.56, 43,958.42 and 17,514.02

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Solution

The fourth proportional to 31,853.56, 43,958.42 and 17,514.02 is: 24,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.56 : 43,958.42 = 17,514.02 : x
  2. Step 2: Convert to fraction form
    31,853.56/43,958.42 = 17,514.02/x
  3. Step 3: Cross multiply
    31,853.56x = 43,958.42 × 17,514.02
  4. Step 4: Simplify right side
    31,853.56x = 769,888,647.05
  5. Step 5: Solve for x
    x = 769,888,647.05/31,853.56
  6. Step 6: Final answer
    x = 24,169.63

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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.