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Finding the Fourth Proportional to 37,229.78, 51,377.37 and 20,234.09

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Solution

The fourth proportional to 37,229.78, 51,377.37 and 20,234.09 is: 27,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,229.78 : 51,377.37 = 20,234.09 : x
  2. Step 2: Convert to fraction form
    37,229.78/51,377.37 = 20,234.09/x
  3. Step 3: Cross multiply
    37,229.78x = 51,377.37 × 20,234.09
  4. Step 4: Simplify right side
    37,229.78x = 1,039,574,328.54
  5. Step 5: Solve for x
    x = 1,039,574,328.54/37,229.78
  6. Step 6: Final answer
    x = 27,923.19

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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.