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Finding the Fourth Proportional to 37,589.27, 51,755.15 and 31,912.21

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Solution

The fourth proportional to 37,589.27, 51,755.15 and 31,912.21 is: 43,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589.27 : 51,755.15 = 31,912.21 : x
  2. Step 2: Convert to fraction form
    37,589.27/51,755.15 = 31,912.21/x
  3. Step 3: Cross multiply
    37,589.27x = 51,755.15 × 31,912.21
  4. Step 4: Simplify right side
    37,589.27x = 1,651,620,797.04
  5. Step 5: Solve for x
    x = 1,651,620,797.04/37,589.27
  6. Step 6: Final answer
    x = 43,938.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.