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Finding the Fourth Proportional to 33,431.94, 50,142.24 and 10,052.91

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Solution

The fourth proportional to 33,431.94, 50,142.24 and 10,052.91 is: 15,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.94 : 50,142.24 = 10,052.91 : x
  2. Step 2: Convert to fraction form
    33,431.94/50,142.24 = 10,052.91/x
  3. Step 3: Cross multiply
    33,431.94x = 50,142.24 × 10,052.91
  4. Step 4: Simplify right side
    33,431.94x = 504,075,425.92
  5. Step 5: Solve for x
    x = 504,075,425.92/33,431.94
  6. Step 6: Final answer
    x = 15,077.66

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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.