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Finding the Fourth Proportional to 33,101.54, 49,652.31 and 9,727.97

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Solution

The fourth proportional to 33,101.54, 49,652.31 and 9,727.97 is: 14,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.54 : 49,652.31 = 9,727.97 : x
  2. Step 2: Convert to fraction form
    33,101.54/49,652.31 = 9,727.97/x
  3. Step 3: Cross multiply
    33,101.54x = 49,652.31 × 9,727.97
  4. Step 4: Simplify right side
    33,101.54x = 483,015,933.85
  5. Step 5: Solve for x
    x = 483,015,933.85/33,101.54
  6. Step 6: Final answer
    x = 14,591.95

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Why These Related Problems?

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