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Finding the Fourth Proportional to 33,542.80, 50,320.64 and 12,764.64

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Solution

The fourth proportional to 33,542.80, 50,320.64 and 12,764.64 is: 19,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,542.80 : 50,320.64 = 12,764.64 : x
  2. Step 2: Convert to fraction form
    33,542.80/50,320.64 = 12,764.64/x
  3. Step 3: Cross multiply
    33,542.80x = 50,320.64 × 12,764.64
  4. Step 4: Simplify right side
    33,542.80x = 642,324,854.17
  5. Step 5: Solve for x
    x = 642,324,854.17/33,542.80
  6. Step 6: Final answer
    x = 19,149.41

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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.