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Finding the Fourth Proportional to 50,074.56, 69,075 and 32,149.44

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Solution

The fourth proportional to 50,074.56, 69,075 and 32,149.44 is: 44,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074.56 : 69,075 = 32,149.44 : x
  2. Step 2: Convert to fraction form
    50,074.56/69,075 = 32,149.44/x
  3. Step 3: Cross multiply
    50,074.56x = 69,075 × 32,149.44
  4. Step 4: Simplify right side
    50,074.56x = 2,220,722,568
  5. Step 5: Solve for x
    x = 2,220,722,568/50,074.56
  6. Step 6: Final answer
    x = 44,348.32

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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.