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Finding the Fourth Proportional to 33,287.85, 49,940.24 and 9,914.49

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Solution

The fourth proportional to 33,287.85, 49,940.24 and 9,914.49 is: 14,874.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,287.85 : 49,940.24 = 9,914.49 : x
  2. Step 2: Convert to fraction form
    33,287.85/49,940.24 = 9,914.49/x
  3. Step 3: Cross multiply
    33,287.85x = 49,940.24 × 9,914.49
  4. Step 4: Simplify right side
    33,287.85x = 495,131,960.51
  5. Step 5: Solve for x
    x = 495,131,960.51/33,287.85
  6. Step 6: Final answer
    x = 14,874.25

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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.