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Finding the Fourth Proportional to 33,409.73, 50,121.75 and 9,717.68

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Solution

The fourth proportional to 33,409.73, 50,121.75 and 9,717.68 is: 14,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,409.73 : 50,121.75 = 9,717.68 : x
  2. Step 2: Convert to fraction form
    33,409.73/50,121.75 = 9,717.68/x
  3. Step 3: Cross multiply
    33,409.73x = 50,121.75 × 9,717.68
  4. Step 4: Simplify right side
    33,409.73x = 487,066,876.93
  5. Step 5: Solve for x
    x = 487,066,876.93/33,409.73
  6. Step 6: Final answer
    x = 14,578.60

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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.