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Finding the Fourth Proportional to 33,223.30, 49,844.55 and 9,850.30

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Solution

The fourth proportional to 33,223.30, 49,844.55 and 9,850.30 is: 14,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,223.30 : 49,844.55 = 9,850.30 : x
  2. Step 2: Convert to fraction form
    33,223.30/49,844.55 = 9,850.30/x
  3. Step 3: Cross multiply
    33,223.30x = 49,844.55 × 9,850.30
  4. Step 4: Simplify right side
    33,223.30x = 490,983,770.87
  5. Step 5: Solve for x
    x = 490,983,770.87/33,223.30
  6. Step 6: Final answer
    x = 14,778.30

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1.5x scale

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.