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Finding the Fourth Proportional to 33,123.34, 49,679.61 and 9,744.31

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Solution

The fourth proportional to 33,123.34, 49,679.61 and 9,744.31 is: 14,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,123.34 : 49,679.61 = 9,744.31 : x
  2. Step 2: Convert to fraction form
    33,123.34/49,679.61 = 9,744.31/x
  3. Step 3: Cross multiply
    33,123.34x = 49,679.61 × 9,744.31
  4. Step 4: Simplify right side
    33,123.34x = 484,093,520.52
  5. Step 5: Solve for x
    x = 484,093,520.52/33,123.34
  6. Step 6: Final answer
    x = 14,614.88

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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.