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Finding the Fourth Proportional to 33,890.26, 50,852.73 and 16,141

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Solution

The fourth proportional to 33,890.26, 50,852.73 and 16,141 is: 24,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,890.26 : 50,852.73 = 16,141 : x
  2. Step 2: Convert to fraction form
    33,890.26/50,852.73 = 16,141/x
  3. Step 3: Cross multiply
    33,890.26x = 50,852.73 × 16,141
  4. Step 4: Simplify right side
    33,890.26x = 820,813,914.93
  5. Step 5: Solve for x
    x = 820,813,914.93/33,890.26
  6. Step 6: Final answer
    x = 24,219.76

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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.