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Finding the Fourth Proportional to 31,857.01, 43,958.84 and 17,514.48

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Solution

The fourth proportional to 31,857.01, 43,958.84 and 17,514.48 is: 24,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.01 : 43,958.84 = 17,514.48 : x
  2. Step 2: Convert to fraction form
    31,857.01/43,958.84 = 17,514.48/x
  3. Step 3: Cross multiply
    31,857.01x = 43,958.84 × 17,514.48
  4. Step 4: Simplify right side
    31,857.01x = 769,916,224.00
  5. Step 5: Solve for x
    x = 769,916,224.00/31,857.01
  6. Step 6: Final answer
    x = 24,167.87

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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.