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Finding the Fourth Proportional to 37,324.80, 51,321.60 and 35,769.60

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Solution

The fourth proportional to 37,324.80, 51,321.60 and 35,769.60 is: 49,183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324.80 : 51,321.60 = 35,769.60 : x
  2. Step 2: Convert to fraction form
    37,324.80/51,321.60 = 35,769.60/x
  3. Step 3: Cross multiply
    37,324.80x = 51,321.60 × 35,769.60
  4. Step 4: Simplify right side
    37,324.80x = 1,835,753,103.36
  5. Step 5: Solve for x
    x = 1,835,753,103.36/37,324.80
  6. Step 6: Final answer
    x = 49,183.20

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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.