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Finding the Fourth Proportional to 33,191.99, 49,786.16 and 13,465.25

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Solution

The fourth proportional to 33,191.99, 49,786.16 and 13,465.25 is: 20,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,191.99 : 49,786.16 = 13,465.25 : x
  2. Step 2: Convert to fraction form
    33,191.99/49,786.16 = 13,465.25/x
  3. Step 3: Cross multiply
    33,191.99x = 49,786.16 × 13,465.25
  4. Step 4: Simplify right side
    33,191.99x = 670,383,249.07
  5. Step 5: Solve for x
    x = 670,383,249.07/33,191.99
  6. Step 6: Final answer
    x = 20,197.14

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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.