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Finding the Fourth Proportional to 33,797.16, 50,706.54 and 16,257.42

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Solution

The fourth proportional to 33,797.16, 50,706.54 and 16,257.42 is: 24,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797.16 : 50,706.54 = 16,257.42 : x
  2. Step 2: Convert to fraction form
    33,797.16/50,706.54 = 16,257.42/x
  3. Step 3: Cross multiply
    33,797.16x = 50,706.54 × 16,257.42
  4. Step 4: Simplify right side
    33,797.16x = 824,357,517.53
  5. Step 5: Solve for x
    x = 824,357,517.53/33,797.16
  6. Step 6: Final answer
    x = 24,391.33

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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.