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Finding the Fourth Proportional to 50,524.89, 69,724.79 and 27,864.78

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Solution

The fourth proportional to 50,524.89, 69,724.79 and 27,864.78 is: 38,453.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,524.89 : 69,724.79 = 27,864.78 : x
  2. Step 2: Convert to fraction form
    50,524.89/69,724.79 = 27,864.78/x
  3. Step 3: Cross multiply
    50,524.89x = 69,724.79 × 27,864.78
  4. Step 4: Simplify right side
    50,524.89x = 1,942,865,933.90
  5. Step 5: Solve for x
    x = 1,942,865,933.90/50,524.89
  6. Step 6: Final answer
    x = 38,453.64

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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.