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Finding the Fourth Proportional to 50,346.33, 69,478.17 and 27,686.76

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Solution

The fourth proportional to 50,346.33, 69,478.17 and 27,686.76 is: 38,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346.33 : 69,478.17 = 27,686.76 : x
  2. Step 2: Convert to fraction form
    50,346.33/69,478.17 = 27,686.76/x
  3. Step 3: Cross multiply
    50,346.33x = 69,478.17 × 27,686.76
  4. Step 4: Simplify right side
    50,346.33x = 1,923,625,418.03
  5. Step 5: Solve for x
    x = 1,923,625,418.03/50,346.33
  6. Step 6: Final answer
    x = 38,207.86

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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.