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Finding the Fourth Proportional to 75,486.80, 113,231.82 and 27,453.80

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Solution

The fourth proportional to 75,486.80, 113,231.82 and 27,453.80 is: 41,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,486.80 : 113,231.82 = 27,453.80 : x
  2. Step 2: Convert to fraction form
    75,486.80/113,231.82 = 27,453.80/x
  3. Step 3: Cross multiply
    75,486.80x = 113,231.82 × 27,453.80
  4. Step 4: Simplify right side
    75,486.80x = 3,108,643,739.92
  5. Step 5: Solve for x
    x = 3,108,643,739.92/75,486.80
  6. Step 6: Final answer
    x = 41,181.29

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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.