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Finding the Fourth Proportional to 57,734, 86,350.82 and 33,984.96

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Solution

The fourth proportional to 57,734, 86,350.82 and 33,984.96 is: 50,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,734 : 86,350.82 = 33,984.96 : x
  2. Step 2: Convert to fraction form
    57,734/86,350.82 = 33,984.96/x
  3. Step 3: Cross multiply
    57,734x = 86,350.82 × 33,984.96
  4. Step 4: Simplify right side
    57,734x = 2,934,629,163.67
  5. Step 5: Solve for x
    x = 2,934,629,163.67/57,734
  6. Step 6: Final answer
    x = 50,830.17

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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.