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Finding the Fourth Proportional to 50,325.57, 69,449.22 and 27,666

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Solution

The fourth proportional to 50,325.57, 69,449.22 and 27,666 is: 38,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,325.57 : 69,449.22 = 27,666 : x
  2. Step 2: Convert to fraction form
    50,325.57/69,449.22 = 27,666/x
  3. Step 3: Cross multiply
    50,325.57x = 69,449.22 × 27,666
  4. Step 4: Simplify right side
    50,325.57x = 1,921,382,120.52
  5. Step 5: Solve for x
    x = 1,921,382,120.52/50,325.57
  6. Step 6: Final answer
    x = 38,179.04

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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.