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Finding the Fourth Proportional to 33,692.44, 50,541.09 and 10,315.84

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Solution

The fourth proportional to 33,692.44, 50,541.09 and 10,315.84 is: 15,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,692.44 : 50,541.09 = 10,315.84 : x
  2. Step 2: Convert to fraction form
    33,692.44/50,541.09 = 10,315.84/x
  3. Step 3: Cross multiply
    33,692.44x = 50,541.09 × 10,315.84
  4. Step 4: Simplify right side
    33,692.44x = 521,373,797.87
  5. Step 5: Solve for x
    x = 521,373,797.87/33,692.44
  6. Step 6: Final answer
    x = 15,474.50

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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.