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Finding the Fourth Proportional to 49,778.44, 74,648.22 and 22,057

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Solution

The fourth proportional to 49,778.44, 74,648.22 and 22,057 is: 33,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,778.44 : 74,648.22 = 22,057 : x
  2. Step 2: Convert to fraction form
    49,778.44/74,648.22 = 22,057/x
  3. Step 3: Cross multiply
    49,778.44x = 74,648.22 × 22,057
  4. Step 4: Simplify right side
    49,778.44x = 1,646,515,788.54
  5. Step 5: Solve for x
    x = 1,646,515,788.54/49,778.44
  6. Step 6: Final answer
    x = 33,076.89

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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.