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Finding the Fourth Proportional to 33,833.77, 50,732.29 and 10,138.03

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Solution

The fourth proportional to 33,833.77, 50,732.29 and 10,138.03 is: 15,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,833.77 : 50,732.29 = 10,138.03 : x
  2. Step 2: Convert to fraction form
    33,833.77/50,732.29 = 10,138.03/x
  3. Step 3: Cross multiply
    33,833.77x = 50,732.29 × 10,138.03
  4. Step 4: Simplify right side
    33,833.77x = 514,325,363.83
  5. Step 5: Solve for x
    x = 514,325,363.83/33,833.77
  6. Step 6: Final answer
    x = 15,201.54

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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.