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Finding the Fourth Proportional to 50,201.76, 69,278.94 and 27,540.78

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Solution

The fourth proportional to 50,201.76, 69,278.94 and 27,540.78 is: 38,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,201.76 : 69,278.94 = 27,540.78 : x
  2. Step 2: Convert to fraction form
    50,201.76/69,278.94 = 27,540.78/x
  3. Step 3: Cross multiply
    50,201.76x = 69,278.94 × 27,540.78
  4. Step 4: Simplify right side
    50,201.76x = 1,907,996,045.17
  5. Step 5: Solve for x
    x = 1,907,996,045.17/50,201.76
  6. Step 6: Final answer
    x = 38,006.56

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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.