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Finding the Fourth Proportional to 57,122.45, 85,698.46 and 33,450

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Solution

The fourth proportional to 57,122.45, 85,698.46 and 33,450 is: 50,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,122.45 : 85,698.46 = 33,450 : x
  2. Step 2: Convert to fraction form
    57,122.45/85,698.46 = 33,450/x
  3. Step 3: Cross multiply
    57,122.45x = 85,698.46 × 33,450
  4. Step 4: Simplify right side
    57,122.45x = 2,866,613,487
  5. Step 5: Solve for x
    x = 2,866,613,487/57,122.45
  6. Step 6: Final answer
    x = 50,183.66

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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.