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Finding the Fourth Proportional to 64,231.38, 96,347.88 and 22,649.22

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Solution

The fourth proportional to 64,231.38, 96,347.88 and 22,649.22 is: 33,974.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,231.38 : 96,347.88 = 22,649.22 : x
  2. Step 2: Convert to fraction form
    64,231.38/96,347.88 = 22,649.22/x
  3. Step 3: Cross multiply
    64,231.38x = 96,347.88 × 22,649.22
  4. Step 4: Simplify right side
    64,231.38x = 2,182,204,330.65
  5. Step 5: Solve for x
    x = 2,182,204,330.65/64,231.38
  6. Step 6: Final answer
    x = 33,974.12

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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.