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Finding the Fourth Proportional to 31,687.49, 47,514.83 and 16,892.43

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Solution

The fourth proportional to 31,687.49, 47,514.83 and 16,892.43 is: 25,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.49 : 47,514.83 = 16,892.43 : x
  2. Step 2: Convert to fraction form
    31,687.49/47,514.83 = 16,892.43/x
  3. Step 3: Cross multiply
    31,687.49x = 47,514.83 × 16,892.43
  4. Step 4: Simplify right side
    31,687.49x = 802,640,855.27
  5. Step 5: Solve for x
    x = 802,640,855.27/31,687.49
  6. Step 6: Final answer
    x = 25,329.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.