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Finding the Fourth Proportional to 33,865.77, 50,801.10 and 11,678.83

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Solution

The fourth proportional to 33,865.77, 50,801.10 and 11,678.83 is: 17,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,865.77 : 50,801.10 = 11,678.83 : x
  2. Step 2: Convert to fraction form
    33,865.77/50,801.10 = 11,678.83/x
  3. Step 3: Cross multiply
    33,865.77x = 50,801.10 × 11,678.83
  4. Step 4: Simplify right side
    33,865.77x = 593,297,410.71
  5. Step 5: Solve for x
    x = 593,297,410.71/33,865.77
  6. Step 6: Final answer
    x = 17,519.09

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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.