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Finding the Fourth Proportional to 64,198.33, 96,231.87 and 22,065.77

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Solution

The fourth proportional to 64,198.33, 96,231.87 and 22,065.77 is: 33,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,198.33 : 96,231.87 = 22,065.77 : x
  2. Step 2: Convert to fraction form
    64,198.33/96,231.87 = 22,065.77/x
  3. Step 3: Cross multiply
    64,198.33x = 96,231.87 × 22,065.77
  4. Step 4: Simplify right side
    64,198.33x = 2,123,430,550.67
  5. Step 5: Solve for x
    x = 2,123,430,550.67/64,198.33
  6. Step 6: Final answer
    x = 33,076.10

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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.