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Finding the Fourth Proportional to 31,661.50, 43,689.94 and 17,514.04

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Solution

The fourth proportional to 31,661.50, 43,689.94 and 17,514.04 is: 24,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,661.50 : 43,689.94 = 17,514.04 : x
  2. Step 2: Convert to fraction form
    31,661.50/43,689.94 = 17,514.04/x
  3. Step 3: Cross multiply
    31,661.50x = 43,689.94 × 17,514.04
  4. Step 4: Simplify right side
    31,661.50x = 765,187,356.76
  5. Step 5: Solve for x
    x = 765,187,356.76/31,661.50
  6. Step 6: Final answer
    x = 24,167.75

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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.