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Finding the Fourth Proportional to 33,399.82, 50,102.16 and 13,678.48

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Solution

The fourth proportional to 33,399.82, 50,102.16 and 13,678.48 is: 20,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,399.82 : 50,102.16 = 13,678.48 : x
  2. Step 2: Convert to fraction form
    33,399.82/50,102.16 = 13,678.48/x
  3. Step 3: Cross multiply
    33,399.82x = 50,102.16 × 13,678.48
  4. Step 4: Simplify right side
    33,399.82x = 685,321,393.52
  5. Step 5: Solve for x
    x = 685,321,393.52/33,399.82
  6. Step 6: Final answer
    x = 20,518.72

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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.