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Finding the Fourth Proportional to 33,831, 50,751.34 and 10,459.26

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Solution

The fourth proportional to 33,831, 50,751.34 and 10,459.26 is: 15,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,831 : 50,751.34 = 10,459.26 : x
  2. Step 2: Convert to fraction form
    33,831/50,751.34 = 10,459.26/x
  3. Step 3: Cross multiply
    33,831x = 50,751.34 × 10,459.26
  4. Step 4: Simplify right side
    33,831x = 530,821,460.41
  5. Step 5: Solve for x
    x = 530,821,460.41/33,831
  6. Step 6: Final answer
    x = 15,690.39

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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.