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Finding the Fourth Proportional to 33,662.54, 50,493.81 and 10,288.77

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Solution

The fourth proportional to 33,662.54, 50,493.81 and 10,288.77 is: 15,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,662.54 : 50,493.81 = 10,288.77 : x
  2. Step 2: Convert to fraction form
    33,662.54/50,493.81 = 10,288.77/x
  3. Step 3: Cross multiply
    33,662.54x = 50,493.81 × 10,288.77
  4. Step 4: Simplify right side
    33,662.54x = 519,519,197.51
  5. Step 5: Solve for x
    x = 519,519,197.51/33,662.54
  6. Step 6: Final answer
    x = 15,433.16

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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.