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Finding the Fourth Proportional to 50,584.55, 69,809.04 and 27,926.78

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Solution

The fourth proportional to 50,584.55, 69,809.04 and 27,926.78 is: 38,540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.55 : 69,809.04 = 27,926.78 : x
  2. Step 2: Convert to fraction form
    50,584.55/69,809.04 = 27,926.78/x
  3. Step 3: Cross multiply
    50,584.55x = 69,809.04 × 27,926.78
  4. Step 4: Simplify right side
    50,584.55x = 1,949,541,353.05
  5. Step 5: Solve for x
    x = 1,949,541,353.05/50,584.55
  6. Step 6: Final answer
    x = 38,540.25

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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.