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Finding the Fourth Proportional to 33,905.46, 50,851.23 and 12,838.23

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Solution

The fourth proportional to 33,905.46, 50,851.23 and 12,838.23 is: 19,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,905.46 : 50,851.23 = 12,838.23 : x
  2. Step 2: Convert to fraction form
    33,905.46/50,851.23 = 12,838.23/x
  3. Step 3: Cross multiply
    33,905.46x = 50,851.23 × 12,838.23
  4. Step 4: Simplify right side
    33,905.46x = 652,839,786.52
  5. Step 5: Solve for x
    x = 652,839,786.52/33,905.46
  6. Step 6: Final answer
    x = 19,254.71

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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.