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Finding the Fourth Proportional to 68,431.13, 102,649.58 and 33,400.25

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Solution

The fourth proportional to 68,431.13, 102,649.58 and 33,400.25 is: 50,101.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,431.13 : 102,649.58 = 33,400.25 : x
  2. Step 2: Convert to fraction form
    68,431.13/102,649.58 = 33,400.25/x
  3. Step 3: Cross multiply
    68,431.13x = 102,649.58 × 33,400.25
  4. Step 4: Simplify right side
    68,431.13x = 3,428,521,467.39
  5. Step 5: Solve for x
    x = 3,428,521,467.39/68,431.13
  6. Step 6: Final answer
    x = 50,101.78

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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.