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Finding the Fourth Proportional to 31,144.43, 42,960.09 and 22,194.80

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Solution

The fourth proportional to 31,144.43, 42,960.09 and 22,194.80 is: 30,615.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.43 : 42,960.09 = 22,194.80 : x
  2. Step 2: Convert to fraction form
    31,144.43/42,960.09 = 22,194.80/x
  3. Step 3: Cross multiply
    31,144.43x = 42,960.09 × 22,194.80
  4. Step 4: Simplify right side
    31,144.43x = 953,490,605.53
  5. Step 5: Solve for x
    x = 953,490,605.53/31,144.43
  6. Step 6: Final answer
    x = 30,615.12

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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.