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Finding the Fourth Proportional to 33,782, 50,425.64 and 29,791.86

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Solution

The fourth proportional to 33,782, 50,425.64 and 29,791.86 is: 44,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782 : 50,425.64 = 29,791.86 : x
  2. Step 2: Convert to fraction form
    33,782/50,425.64 = 29,791.86/x
  3. Step 3: Cross multiply
    33,782x = 50,425.64 × 29,791.86
  4. Step 4: Simplify right side
    33,782x = 1,502,273,607.29
  5. Step 5: Solve for x
    x = 1,502,273,607.29/33,782
  6. Step 6: Final answer
    x = 44,469.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.