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Finding the Fourth Proportional to 49,772.75, 74,706.02 and 33,144.41

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Solution

The fourth proportional to 49,772.75, 74,706.02 and 33,144.41 is: 49,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,772.75 : 74,706.02 = 33,144.41 : x
  2. Step 2: Convert to fraction form
    49,772.75/74,706.02 = 33,144.41/x
  3. Step 3: Cross multiply
    49,772.75x = 74,706.02 × 33,144.41
  4. Step 4: Simplify right side
    49,772.75x = 2,476,086,417.10
  5. Step 5: Solve for x
    x = 2,476,086,417.10/49,772.75
  6. Step 6: Final answer
    x = 49,747.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.