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Finding the Fourth Proportional to 77,198.40, 115,808.40 and 32,824.80

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Solution

The fourth proportional to 77,198.40, 115,808.40 and 32,824.80 is: 49,241.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,198.40 : 115,808.40 = 32,824.80 : x
  2. Step 2: Convert to fraction form
    77,198.40/115,808.40 = 32,824.80/x
  3. Step 3: Cross multiply
    77,198.40x = 115,808.40 × 32,824.80
  4. Step 4: Simplify right side
    77,198.40x = 3,801,387,568.32
  5. Step 5: Solve for x
    x = 3,801,387,568.32/77,198.40
  6. Step 6: Final answer
    x = 49,241.79

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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.