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Finding the Fourth Proportional to 33,792.16, 50,682.80 and 10,099.36

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Solution

The fourth proportional to 33,792.16, 50,682.80 and 10,099.36 is: 15,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,792.16 : 50,682.80 = 10,099.36 : x
  2. Step 2: Convert to fraction form
    33,792.16/50,682.80 = 10,099.36/x
  3. Step 3: Cross multiply
    33,792.16x = 50,682.80 × 10,099.36
  4. Step 4: Simplify right side
    33,792.16x = 511,863,843.01
  5. Step 5: Solve for x
    x = 511,863,843.01/33,792.16
  6. Step 6: Final answer
    x = 15,147.41

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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.