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Finding the Fourth Proportional to 50,346.61, 69,478.33 and 27,687.14

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Solution

The fourth proportional to 50,346.61, 69,478.33 and 27,687.14 is: 38,208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346.61 : 69,478.33 = 27,687.14 : x
  2. Step 2: Convert to fraction form
    50,346.61/69,478.33 = 27,687.14/x
  3. Step 3: Cross multiply
    50,346.61x = 69,478.33 × 27,687.14
  4. Step 4: Simplify right side
    50,346.61x = 1,923,656,418.80
  5. Step 5: Solve for x
    x = 1,923,656,418.80/50,346.61
  6. Step 6: Final answer
    x = 38,208.26

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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.