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Finding the Fourth Proportional to 33,034.53, 49,571.43 and 11,972.51

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Solution

The fourth proportional to 33,034.53, 49,571.43 and 11,972.51 is: 17,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,034.53 : 49,571.43 = 11,972.51 : x
  2. Step 2: Convert to fraction form
    33,034.53/49,571.43 = 11,972.51/x
  3. Step 3: Cross multiply
    33,034.53x = 49,571.43 × 11,972.51
  4. Step 4: Simplify right side
    33,034.53x = 593,494,193.53
  5. Step 5: Solve for x
    x = 593,494,193.53/33,034.53
  6. Step 6: Final answer
    x = 17,965.87

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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.