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Finding the Fourth Proportional to 31,586.68, 47,382.54 and 18,440.38

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Solution

The fourth proportional to 31,586.68, 47,382.54 and 18,440.38 is: 27,662.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,586.68 : 47,382.54 = 18,440.38 : x
  2. Step 2: Convert to fraction form
    31,586.68/47,382.54 = 18,440.38/x
  3. Step 3: Cross multiply
    31,586.68x = 47,382.54 × 18,440.38
  4. Step 4: Simplify right side
    31,586.68x = 873,752,042.97
  5. Step 5: Solve for x
    x = 873,752,042.97/31,586.68
  6. Step 6: Final answer
    x = 27,662.04

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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.