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Finding the Fourth Proportional to 50,078.75, 69,108.68 and 27,722.75

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Solution

The fourth proportional to 50,078.75, 69,108.68 and 27,722.75 is: 38,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,078.75 : 69,108.68 = 27,722.75 : x
  2. Step 2: Convert to fraction form
    50,078.75/69,108.68 = 27,722.75/x
  3. Step 3: Cross multiply
    50,078.75x = 69,108.68 × 27,722.75
  4. Step 4: Simplify right side
    50,078.75x = 1,915,882,658.47
  5. Step 5: Solve for x
    x = 1,915,882,658.47/50,078.75
  6. Step 6: Final answer
    x = 38,257.40

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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.