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Finding the Fourth Proportional to 50,238, 69,331.68 and 27,882

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Solution

The fourth proportional to 50,238, 69,331.68 and 27,882 is: 38,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,238 : 69,331.68 = 27,882 : x
  2. Step 2: Convert to fraction form
    50,238/69,331.68 = 27,882/x
  3. Step 3: Cross multiply
    50,238x = 69,331.68 × 27,882
  4. Step 4: Simplify right side
    50,238x = 1,933,105,901.76
  5. Step 5: Solve for x
    x = 1,933,105,901.76/50,238
  6. Step 6: Final answer
    x = 38,478.96

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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.