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Finding the Fourth Proportional to 33,878.09, 50,790 and 16,099.83

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Solution

The fourth proportional to 33,878.09, 50,790 and 16,099.83 is: 24,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,878.09 : 50,790 = 16,099.83 : x
  2. Step 2: Convert to fraction form
    33,878.09/50,790 = 16,099.83/x
  3. Step 3: Cross multiply
    33,878.09x = 50,790 × 16,099.83
  4. Step 4: Simplify right side
    33,878.09x = 817,710,238.73
  5. Step 5: Solve for x
    x = 817,710,238.73/33,878.09
  6. Step 6: Final answer
    x = 24,136.85

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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.