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Finding the Fourth Proportional to 33,164.70, 49,698.45 and 13,408.80

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Solution

The fourth proportional to 33,164.70, 49,698.45 and 13,408.80 is: 20,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,164.70 : 49,698.45 = 13,408.80 : x
  2. Step 2: Convert to fraction form
    33,164.70/49,698.45 = 13,408.80/x
  3. Step 3: Cross multiply
    33,164.70x = 49,698.45 × 13,408.80
  4. Step 4: Simplify right side
    33,164.70x = 666,396,576.36
  5. Step 5: Solve for x
    x = 666,396,576.36/33,164.70
  6. Step 6: Final answer
    x = 20,093.55

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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.