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Finding the Fourth Proportional to 50,049, 69,069.78 and 27,693

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Solution

The fourth proportional to 50,049, 69,069.78 and 27,693 is: 38,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,049 : 69,069.78 = 27,693 : x
  2. Step 2: Convert to fraction form
    50,049/69,069.78 = 27,693/x
  3. Step 3: Cross multiply
    50,049x = 69,069.78 × 27,693
  4. Step 4: Simplify right side
    50,049x = 1,912,749,417.54
  5. Step 5: Solve for x
    x = 1,912,749,417.54/50,049
  6. Step 6: Final answer
    x = 38,217.54

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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.