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Finding the Fourth Proportional to 50,167, 69,232.62 and 27,811

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Solution

The fourth proportional to 50,167, 69,232.62 and 27,811 is: 38,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,167 : 69,232.62 = 27,811 : x
  2. Step 2: Convert to fraction form
    50,167/69,232.62 = 27,811/x
  3. Step 3: Cross multiply
    50,167x = 69,232.62 × 27,811
  4. Step 4: Simplify right side
    50,167x = 1,925,428,394.82
  5. Step 5: Solve for x
    x = 1,925,428,394.82/50,167
  6. Step 6: Final answer
    x = 38,380.38

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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.