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Finding the Fourth Proportional to 33,006.42, 49,512.73 and 11,951.77

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Solution

The fourth proportional to 33,006.42, 49,512.73 and 11,951.77 is: 17,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.42 : 49,512.73 = 11,951.77 : x
  2. Step 2: Convert to fraction form
    33,006.42/49,512.73 = 11,951.77/x
  3. Step 3: Cross multiply
    33,006.42x = 49,512.73 × 11,951.77
  4. Step 4: Simplify right side
    33,006.42x = 591,764,530.54
  5. Step 5: Solve for x
    x = 591,764,530.54/33,006.42
  6. Step 6: Final answer
    x = 17,928.77

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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.