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Finding the Fourth Proportional to 71,101.20, 106,603.20 and 33,679.20

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Solution

The fourth proportional to 71,101.20, 106,603.20 and 33,679.20 is: 50,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,101.20 : 106,603.20 = 33,679.20 : x
  2. Step 2: Convert to fraction form
    71,101.20/106,603.20 = 33,679.20/x
  3. Step 3: Cross multiply
    71,101.20x = 106,603.20 × 33,679.20
  4. Step 4: Simplify right side
    71,101.20x = 3,590,310,493.44
  5. Step 5: Solve for x
    x = 3,590,310,493.44/71,101.20
  6. Step 6: Final answer
    x = 50,495.78

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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.