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Finding the Fourth Proportional to 33,771.42, 50,658.15 and 11,584.47

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Solution

The fourth proportional to 33,771.42, 50,658.15 and 11,584.47 is: 17,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,771.42 : 50,658.15 = 11,584.47 : x
  2. Step 2: Convert to fraction form
    33,771.42/50,658.15 = 11,584.47/x
  3. Step 3: Cross multiply
    33,771.42x = 50,658.15 × 11,584.47
  4. Step 4: Simplify right side
    33,771.42x = 586,847,818.93
  5. Step 5: Solve for x
    x = 586,847,818.93/33,771.42
  6. Step 6: Final answer
    x = 17,377.05

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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.