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Finding the Fourth Proportional to 31,842.60, 43,939.29 and 18,411.82

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Solution

The fourth proportional to 31,842.60, 43,939.29 and 18,411.82 is: 25,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.60 : 43,939.29 = 18,411.82 : x
  2. Step 2: Convert to fraction form
    31,842.60/43,939.29 = 18,411.82/x
  3. Step 3: Cross multiply
    31,842.60x = 43,939.29 × 18,411.82
  4. Step 4: Simplify right side
    31,842.60x = 809,002,257.60
  5. Step 5: Solve for x
    x = 809,002,257.60/31,842.60
  6. Step 6: Final answer
    x = 25,406.29

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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.