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Finding the Fourth Proportional to 31,687.69, 43,682.42 and 24,120.84

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Solution

The fourth proportional to 31,687.69, 43,682.42 and 24,120.84 is: 33,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,687.69 : 43,682.42 = 24,120.84 : x
  2. Step 2: Convert to fraction form
    31,687.69/43,682.42 = 24,120.84/x
  3. Step 3: Cross multiply
    31,687.69x = 43,682.42 × 24,120.84
  4. Step 4: Simplify right side
    31,687.69x = 1,053,656,384.92
  5. Step 5: Solve for x
    x = 1,053,656,384.92/31,687.69
  6. Step 6: Final answer
    x = 33,251.29

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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.