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Finding the Fourth Proportional to 31,843.43, 47,764.97 and 8,150.93

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Solution

The fourth proportional to 31,843.43, 47,764.97 and 8,150.93 is: 12,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.43 : 47,764.97 = 8,150.93 : x
  2. Step 2: Convert to fraction form
    31,843.43/47,764.97 = 8,150.93/x
  3. Step 3: Cross multiply
    31,843.43x = 47,764.97 × 8,150.93
  4. Step 4: Simplify right side
    31,843.43x = 389,328,647.34
  5. Step 5: Solve for x
    x = 389,328,647.34/31,843.43
  6. Step 6: Final answer
    x = 12,226.34

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1.5x scale

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.