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Finding the Fourth Proportional to 33,541.36, 50,310.54 and 9,847.96

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Solution

The fourth proportional to 33,541.36, 50,310.54 and 9,847.96 is: 14,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,541.36 : 50,310.54 = 9,847.96 : x
  2. Step 2: Convert to fraction form
    33,541.36/50,310.54 = 9,847.96/x
  3. Step 3: Cross multiply
    33,541.36x = 50,310.54 × 9,847.96
  4. Step 4: Simplify right side
    33,541.36x = 495,456,185.50
  5. Step 5: Solve for x
    x = 495,456,185.50/33,541.36
  6. Step 6: Final answer
    x = 14,771.50

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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.