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Finding the Fourth Proportional to 33,716.91, 50,580.84 and 12,658.59

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Solution

The fourth proportional to 33,716.91, 50,580.84 and 12,658.59 is: 18,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,716.91 : 50,580.84 = 12,658.59 : x
  2. Step 2: Convert to fraction form
    33,716.91/50,580.84 = 12,658.59/x
  3. Step 3: Cross multiply
    33,716.91x = 50,580.84 × 12,658.59
  4. Step 4: Simplify right side
    33,716.91x = 640,282,115.42
  5. Step 5: Solve for x
    x = 640,282,115.42/33,716.91
  6. Step 6: Final answer
    x = 18,989.94

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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.