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Finding the Fourth Proportional to 33,911.02, 50,865.99 and 9,287.02

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Solution

The fourth proportional to 33,911.02, 50,865.99 and 9,287.02 is: 13,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,911.02 : 50,865.99 = 9,287.02 : x
  2. Step 2: Convert to fraction form
    33,911.02/50,865.99 = 9,287.02/x
  3. Step 3: Cross multiply
    33,911.02x = 50,865.99 × 9,287.02
  4. Step 4: Simplify right side
    33,911.02x = 472,393,466.45
  5. Step 5: Solve for x
    x = 472,393,466.45/33,911.02
  6. Step 6: Final answer
    x = 13,930.38

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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.