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Finding the Fourth Proportional to 33,300, 49,950 and 8,676

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Solution

The fourth proportional to 33,300, 49,950 and 8,676 is: 13,014

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,300 : 49,950 = 8,676 : x
  2. Step 2: Convert to fraction form
    33,300/49,950 = 8,676/x
  3. Step 3: Cross multiply
    33,300x = 49,950 × 8,676
  4. Step 4: Simplify right side
    33,300x = 433,366,200
  5. Step 5: Solve for x
    x = 433,366,200/33,300
  6. Step 6: Final answer
    x = 13,014

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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.