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Finding the Fourth Proportional to 33,153.46, 49,645.71 and 32,168.50

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Solution

The fourth proportional to 33,153.46, 49,645.71 and 32,168.50 is: 48,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.46 : 49,645.71 = 32,168.50 : x
  2. Step 2: Convert to fraction form
    33,153.46/49,645.71 = 32,168.50/x
  3. Step 3: Cross multiply
    33,153.46x = 49,645.71 × 32,168.50
  4. Step 4: Simplify right side
    33,153.46x = 1,597,028,022.14
  5. Step 5: Solve for x
    x = 1,597,028,022.14/33,153.46
  6. Step 6: Final answer
    x = 48,170.78

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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.