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Finding the Fourth Proportional to 84,291.85, 126,456 and 44,843.23

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Solution

The fourth proportional to 84,291.85, 126,456 and 44,843.23 is: 67,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291.85 : 126,456 = 44,843.23 : x
  2. Step 2: Convert to fraction form
    84,291.85/126,456 = 44,843.23/x
  3. Step 3: Cross multiply
    84,291.85x = 126,456 × 44,843.23
  4. Step 4: Simplify right side
    84,291.85x = 5,670,695,176.74
  5. Step 5: Solve for x
    x = 5,670,695,176.74/84,291.85
  6. Step 6: Final answer
    x = 67,274.54

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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.