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Finding the Fourth Proportional to 50,211.78, 69,292.29 and 27,855.78

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Solution

The fourth proportional to 50,211.78, 69,292.29 and 27,855.78 is: 38,441.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,211.78 : 69,292.29 = 27,855.78 : x
  2. Step 2: Convert to fraction form
    50,211.78/69,292.29 = 27,855.78/x
  3. Step 3: Cross multiply
    50,211.78x = 69,292.29 × 27,855.78
  4. Step 4: Simplify right side
    50,211.78x = 1,930,190,785.94
  5. Step 5: Solve for x
    x = 1,930,190,785.94/50,211.78
  6. Step 6: Final answer
    x = 38,441.00

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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.