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Finding the Fourth Proportional to 75,858.42, 113,786.46 and 33,727.44

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Solution

The fourth proportional to 75,858.42, 113,786.46 and 33,727.44 is: 50,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,858.42 : 113,786.46 = 33,727.44 : x
  2. Step 2: Convert to fraction form
    75,858.42/113,786.46 = 33,727.44/x
  3. Step 3: Cross multiply
    75,858.42x = 113,786.46 × 33,727.44
  4. Step 4: Simplify right side
    75,858.42x = 3,837,726,002.46
  5. Step 5: Solve for x
    x = 3,837,726,002.46/75,858.42
  6. Step 6: Final answer
    x = 50,590.64

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1.5x scale

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.