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Finding the Fourth Proportional to 50,168, 69,231.84 and 27,812

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Solution

The fourth proportional to 50,168, 69,231.84 and 27,812 is: 38,380.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,168 : 69,231.84 = 27,812 : x
  2. Step 2: Convert to fraction form
    50,168/69,231.84 = 27,812/x
  3. Step 3: Cross multiply
    50,168x = 69,231.84 × 27,812
  4. Step 4: Simplify right side
    50,168x = 1,925,475,934.08
  5. Step 5: Solve for x
    x = 1,925,475,934.08/50,168
  6. Step 6: Final answer
    x = 38,380.56

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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.