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Finding the Fourth Proportional to 49,675, 74,512.68 and 47,183.44

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Solution

The fourth proportional to 49,675, 74,512.68 and 47,183.44 is: 70,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,675 : 74,512.68 = 47,183.44 : x
  2. Step 2: Convert to fraction form
    49,675/74,512.68 = 47,183.44/x
  3. Step 3: Cross multiply
    49,675x = 74,512.68 × 47,183.44
  4. Step 4: Simplify right side
    49,675x = 3,515,764,566.02
  5. Step 5: Solve for x
    x = 3,515,764,566.02/49,675
  6. Step 6: Final answer
    x = 70,775.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.