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Finding the Fourth Proportional to 50,121.98, 69,156.15 and 27,765.98

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Solution

The fourth proportional to 50,121.98, 69,156.15 and 27,765.98 is: 38,310.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,121.98 : 69,156.15 = 27,765.98 : x
  2. Step 2: Convert to fraction form
    50,121.98/69,156.15 = 27,765.98/x
  3. Step 3: Cross multiply
    50,121.98x = 69,156.15 × 27,765.98
  4. Step 4: Simplify right side
    50,121.98x = 1,920,188,277.78
  5. Step 5: Solve for x
    x = 1,920,188,277.78/50,121.98
  6. Step 6: Final answer
    x = 38,310.30

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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.