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Finding the Fourth Proportional to 50,634.32, 69,874.38 and 27,974.30

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Solution

The fourth proportional to 50,634.32, 69,874.38 and 27,974.30 is: 38,603.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634.32 : 69,874.38 = 27,974.30 : x
  2. Step 2: Convert to fraction form
    50,634.32/69,874.38 = 27,974.30/x
  3. Step 3: Cross multiply
    50,634.32x = 69,874.38 × 27,974.30
  4. Step 4: Simplify right side
    50,634.32x = 1,954,686,519.06
  5. Step 5: Solve for x
    x = 1,954,686,519.06/50,634.32
  6. Step 6: Final answer
    x = 38,603.99

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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.