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Finding the Fourth Proportional to 50,643.38, 69,884.27 and 27,982.12

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Solution

The fourth proportional to 50,643.38, 69,884.27 and 27,982.12 is: 38,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,643.38 : 69,884.27 = 27,982.12 : x
  2. Step 2: Convert to fraction form
    50,643.38/69,884.27 = 27,982.12/x
  3. Step 3: Cross multiply
    50,643.38x = 69,884.27 × 27,982.12
  4. Step 4: Simplify right side
    50,643.38x = 1,955,510,029.25
  5. Step 5: Solve for x
    x = 1,955,510,029.25/50,643.38
  6. Step 6: Final answer
    x = 38,613.34

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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.