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Finding the Fourth Proportional to 33,912.42, 50,838.66 and 12,837.84

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Solution

The fourth proportional to 33,912.42, 50,838.66 and 12,837.84 is: 19,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,912.42 : 50,838.66 = 12,837.84 : x
  2. Step 2: Convert to fraction form
    33,912.42/50,838.66 = 12,837.84/x
  3. Step 3: Cross multiply
    33,912.42x = 50,838.66 × 12,837.84
  4. Step 4: Simplify right side
    33,912.42x = 652,658,582.89
  5. Step 5: Solve for x
    x = 652,658,582.89/33,912.42
  6. Step 6: Final answer
    x = 19,245.41

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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.