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Finding the Fourth Proportional to 84,651.62, 126,866.01 and 47,229.32

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Solution

The fourth proportional to 84,651.62, 126,866.01 and 47,229.32 is: 70,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,651.62 : 126,866.01 = 47,229.32 : x
  2. Step 2: Convert to fraction form
    84,651.62/126,866.01 = 47,229.32/x
  3. Step 3: Cross multiply
    84,651.62x = 126,866.01 × 47,229.32
  4. Step 4: Simplify right side
    84,651.62x = 5,991,794,749.08
  5. Step 5: Solve for x
    x = 5,991,794,749.08/84,651.62
  6. Step 6: Final answer
    x = 70,781.81

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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.