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Finding the Fourth Proportional to 31,865.07, 47,796.80 and 8,491.44

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Solution

The fourth proportional to 31,865.07, 47,796.80 and 8,491.44 is: 12,736.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,865.07 : 47,796.80 = 8,491.44 : x
  2. Step 2: Convert to fraction form
    31,865.07/47,796.80 = 8,491.44/x
  3. Step 3: Cross multiply
    31,865.07x = 47,796.80 × 8,491.44
  4. Step 4: Simplify right side
    31,865.07x = 405,863,616.93
  5. Step 5: Solve for x
    x = 405,863,616.93/31,865.07
  6. Step 6: Final answer
    x = 12,736.94

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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.