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Finding the Fourth Proportional to 37,324.38, 51,491 and 25,220.96

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Solution

The fourth proportional to 37,324.38, 51,491 and 25,220.96 is: 34,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324.38 : 51,491 = 25,220.96 : x
  2. Step 2: Convert to fraction form
    37,324.38/51,491 = 25,220.96/x
  3. Step 3: Cross multiply
    37,324.38x = 51,491 × 25,220.96
  4. Step 4: Simplify right side
    37,324.38x = 1,298,652,451.36
  5. Step 5: Solve for x
    x = 1,298,652,451.36/37,324.38
  6. Step 6: Final answer
    x = 34,793.68

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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.