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Finding the Fourth Proportional to 33,829.09, 50,750.02 and 10,450.06

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Solution

The fourth proportional to 33,829.09, 50,750.02 and 10,450.06 is: 15,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,829.09 : 50,750.02 = 10,450.06 : x
  2. Step 2: Convert to fraction form
    33,829.09/50,750.02 = 10,450.06/x
  3. Step 3: Cross multiply
    33,829.09x = 50,750.02 × 10,450.06
  4. Step 4: Simplify right side
    33,829.09x = 530,340,854.75
  5. Step 5: Solve for x
    x = 530,340,854.75/33,829.09
  6. Step 6: Final answer
    x = 15,677.06

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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.