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Finding the Fourth Proportional to 33,834.24, 50,757.84 and 11,642.40

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Solution

The fourth proportional to 33,834.24, 50,757.84 and 11,642.40 is: 17,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,834.24 : 50,757.84 = 11,642.40 : x
  2. Step 2: Convert to fraction form
    33,834.24/50,757.84 = 11,642.40/x
  3. Step 3: Cross multiply
    33,834.24x = 50,757.84 × 11,642.40
  4. Step 4: Simplify right side
    33,834.24x = 590,943,076.42
  5. Step 5: Solve for x
    x = 590,943,076.42/33,834.24
  6. Step 6: Final answer
    x = 17,465.83

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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.