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Finding the Fourth Proportional to 50,230, 69,319.56 and 27,874

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Solution

The fourth proportional to 50,230, 69,319.56 and 27,874 is: 38,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,230 : 69,319.56 = 27,874 : x
  2. Step 2: Convert to fraction form
    50,230/69,319.56 = 27,874/x
  3. Step 3: Cross multiply
    50,230x = 69,319.56 × 27,874
  4. Step 4: Simplify right side
    50,230x = 1,932,213,415.44
  5. Step 5: Solve for x
    x = 1,932,213,415.44/50,230
  6. Step 6: Final answer
    x = 38,467.32

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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.