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Finding the Fourth Proportional to 50,634.48, 69,876.06 and 27,974

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Solution

The fourth proportional to 50,634.48, 69,876.06 and 27,974 is: 38,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,634.48 : 69,876.06 = 27,974 : x
  2. Step 2: Convert to fraction form
    50,634.48/69,876.06 = 27,974/x
  3. Step 3: Cross multiply
    50,634.48x = 69,876.06 × 27,974
  4. Step 4: Simplify right side
    50,634.48x = 1,954,712,902.44
  5. Step 5: Solve for x
    x = 1,954,712,902.44/50,634.48
  6. Step 6: Final answer
    x = 38,604.38

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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.