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Finding the Fourth Proportional to 33,086, 45,659.68 and 18,182.96

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Solution

The fourth proportional to 33,086, 45,659.68 and 18,182.96 is: 25,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086 : 45,659.68 = 18,182.96 : x
  2. Step 2: Convert to fraction form
    33,086/45,659.68 = 18,182.96/x
  3. Step 3: Cross multiply
    33,086x = 45,659.68 × 18,182.96
  4. Step 4: Simplify right side
    33,086x = 830,228,135.05
  5. Step 5: Solve for x
    x = 830,228,135.05/33,086
  6. Step 6: Final answer
    x = 25,093.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.