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Finding the Fourth Proportional to 37,229.40, 55,845 and 10,934.97

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Solution

The fourth proportional to 37,229.40, 55,845 and 10,934.97 is: 16,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,229.40 : 55,845 = 10,934.97 : x
  2. Step 2: Convert to fraction form
    37,229.40/55,845 = 10,934.97/x
  3. Step 3: Cross multiply
    37,229.40x = 55,845 × 10,934.97
  4. Step 4: Simplify right side
    37,229.40x = 610,663,399.65
  5. Step 5: Solve for x
    x = 610,663,399.65/37,229.40
  6. Step 6: Final answer
    x = 16,402.72

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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.