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Finding the Fourth Proportional to 50,965.68, 76,448.48 and 33,431.44

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Solution

The fourth proportional to 50,965.68, 76,448.48 and 33,431.44 is: 50,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,965.68 : 76,448.48 = 33,431.44 : x
  2. Step 2: Convert to fraction form
    50,965.68/76,448.48 = 33,431.44/x
  3. Step 3: Cross multiply
    50,965.68x = 76,448.48 × 33,431.44
  4. Step 4: Simplify right side
    50,965.68x = 2,555,782,772.21
  5. Step 5: Solve for x
    x = 2,555,782,772.21/50,965.68
  6. Step 6: Final answer
    x = 50,147.13

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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.