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Finding the Fourth Proportional to 33,823.77, 50,736.26 and 10,450

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Solution

The fourth proportional to 33,823.77, 50,736.26 and 10,450 is: 15,675.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.77 : 50,736.26 = 10,450 : x
  2. Step 2: Convert to fraction form
    33,823.77/50,736.26 = 10,450/x
  3. Step 3: Cross multiply
    33,823.77x = 50,736.26 × 10,450
  4. Step 4: Simplify right side
    33,823.77x = 530,193,917
  5. Step 5: Solve for x
    x = 530,193,917/33,823.77
  6. Step 6: Final answer
    x = 15,675.19

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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.