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Finding the Fourth Proportional to 37,375.80, 51,469.74 and 30,247.80

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Solution

The fourth proportional to 37,375.80, 51,469.74 and 30,247.80 is: 41,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,375.80 : 51,469.74 = 30,247.80 : x
  2. Step 2: Convert to fraction form
    37,375.80/51,469.74 = 30,247.80/x
  3. Step 3: Cross multiply
    37,375.80x = 51,469.74 × 30,247.80
  4. Step 4: Simplify right side
    37,375.80x = 1,556,846,401.57
  5. Step 5: Solve for x
    x = 1,556,846,401.57/37,375.80
  6. Step 6: Final answer
    x = 41,653.86

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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.