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Finding the Fourth Proportional to 37,229.85, 51,377.59 and 20,234.10

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Solution

The fourth proportional to 37,229.85, 51,377.59 and 20,234.10 is: 27,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,229.85 : 51,377.59 = 20,234.10 : x
  2. Step 2: Convert to fraction form
    37,229.85/51,377.59 = 20,234.10/x
  3. Step 3: Cross multiply
    37,229.85x = 51,377.59 × 20,234.10
  4. Step 4: Simplify right side
    37,229.85x = 1,039,579,293.82
  5. Step 5: Solve for x
    x = 1,039,579,293.82/37,229.85
  6. Step 6: Final answer
    x = 27,923.27

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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.