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Finding the Fourth Proportional to 33,684.52, 50,562 and 13,974.78

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Solution

The fourth proportional to 33,684.52, 50,562 and 13,974.78 is: 20,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,684.52 : 50,562 = 13,974.78 : x
  2. Step 2: Convert to fraction form
    33,684.52/50,562 = 13,974.78/x
  3. Step 3: Cross multiply
    33,684.52x = 50,562 × 13,974.78
  4. Step 4: Simplify right side
    33,684.52x = 706,592,826.36
  5. Step 5: Solve for x
    x = 706,592,826.36/33,684.52
  6. Step 6: Final answer
    x = 20,976.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.