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Finding the Fourth Proportional to 45,169.78, 67,796.26 and 22,999

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Solution

The fourth proportional to 45,169.78, 67,796.26 and 22,999 is: 34,519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,169.78 : 67,796.26 = 22,999 : x
  2. Step 2: Convert to fraction form
    45,169.78/67,796.26 = 22,999/x
  3. Step 3: Cross multiply
    45,169.78x = 67,796.26 × 22,999
  4. Step 4: Simplify right side
    45,169.78x = 1,559,246,183.74
  5. Step 5: Solve for x
    x = 1,559,246,183.74/45,169.78
  6. Step 6: Final answer
    x = 34,519.68

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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.