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Finding the Fourth Proportional to 57,963.16, 86,834.38 and 33,020.40

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Solution

The fourth proportional to 57,963.16, 86,834.38 and 33,020.40 is: 49,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963.16 : 86,834.38 = 33,020.40 : x
  2. Step 2: Convert to fraction form
    57,963.16/86,834.38 = 33,020.40/x
  3. Step 3: Cross multiply
    57,963.16x = 86,834.38 × 33,020.40
  4. Step 4: Simplify right side
    57,963.16x = 2,867,305,961.35
  5. Step 5: Solve for x
    x = 2,867,305,961.35/57,963.16
  6. Step 6: Final answer
    x = 49,467.73

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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.