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Finding the Fourth Proportional to 33,853.80, 50,749.59 and 11,661.90

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Solution

The fourth proportional to 33,853.80, 50,749.59 and 11,661.90 is: 17,482.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,853.80 : 50,749.59 = 11,661.90 : x
  2. Step 2: Convert to fraction form
    33,853.80/50,749.59 = 11,661.90/x
  3. Step 3: Cross multiply
    33,853.80x = 50,749.59 × 11,661.90
  4. Step 4: Simplify right side
    33,853.80x = 591,836,419.03
  5. Step 5: Solve for x
    x = 591,836,419.03/33,853.80
  6. Step 6: Final answer
    x = 17,482.13

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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.