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Finding the Fourth Proportional to 31,805.37, 43,891.20 and 17,658.27

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Solution

The fourth proportional to 31,805.37, 43,891.20 and 17,658.27 is: 24,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.37 : 43,891.20 = 17,658.27 : x
  2. Step 2: Convert to fraction form
    31,805.37/43,891.20 = 17,658.27/x
  3. Step 3: Cross multiply
    31,805.37x = 43,891.20 × 17,658.27
  4. Step 4: Simplify right side
    31,805.37x = 775,042,660.22
  5. Step 5: Solve for x
    x = 775,042,660.22/31,805.37
  6. Step 6: Final answer
    x = 24,368.30

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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.