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Finding the Fourth Proportional to 84,007.67, 126,064.25 and 34,087.97

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Solution

The fourth proportional to 84,007.67, 126,064.25 and 34,087.97 is: 51,153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,007.67 : 126,064.25 = 34,087.97 : x
  2. Step 2: Convert to fraction form
    84,007.67/126,064.25 = 34,087.97/x
  3. Step 3: Cross multiply
    84,007.67x = 126,064.25 × 34,087.97
  4. Step 4: Simplify right side
    84,007.67x = 4,297,274,201.63
  5. Step 5: Solve for x
    x = 4,297,274,201.63/84,007.67
  6. Step 6: Final answer
    x = 51,153.36

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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.