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Finding the Fourth Proportional to 84,161.50, 126,241.23 and 48,676.21

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Solution

The fourth proportional to 84,161.50, 126,241.23 and 48,676.21 is: 73,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,161.50 : 126,241.23 = 48,676.21 : x
  2. Step 2: Convert to fraction form
    84,161.50/126,241.23 = 48,676.21/x
  3. Step 3: Cross multiply
    84,161.50x = 126,241.23 × 48,676.21
  4. Step 4: Simplify right side
    84,161.50x = 6,144,944,622.14
  5. Step 5: Solve for x
    x = 6,144,944,622.14/84,161.50
  6. Step 6: Final answer
    x = 73,013.73

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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.