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Finding the Fourth Proportional to 73,822.82, 110,751.86 and 23,902.97

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Solution

The fourth proportional to 73,822.82, 110,751.86 and 23,902.97 is: 35,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822.82 : 110,751.86 = 23,902.97 : x
  2. Step 2: Convert to fraction form
    73,822.82/110,751.86 = 23,902.97/x
  3. Step 3: Cross multiply
    73,822.82x = 110,751.86 × 23,902.97
  4. Step 4: Simplify right side
    73,822.82x = 2,647,297,893.02
  5. Step 5: Solve for x
    x = 2,647,297,893.02/73,822.82
  6. Step 6: Final answer
    x = 35,860.16

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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.