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Finding the Fourth Proportional to 33,552.48, 50,330 and 12,497.84

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Solution

The fourth proportional to 33,552.48, 50,330 and 12,497.84 is: 18,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,552.48 : 50,330 = 12,497.84 : x
  2. Step 2: Convert to fraction form
    33,552.48/50,330 = 12,497.84/x
  3. Step 3: Cross multiply
    33,552.48x = 50,330 × 12,497.84
  4. Step 4: Simplify right side
    33,552.48x = 629,016,287.20
  5. Step 5: Solve for x
    x = 629,016,287.20/33,552.48
  6. Step 6: Final answer
    x = 18,747.24

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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.