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Finding the Fourth Proportional to 31,481.98, 47,211.63 and 10,418.13

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Solution

The fourth proportional to 31,481.98, 47,211.63 and 10,418.13 is: 15,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.98 : 47,211.63 = 10,418.13 : x
  2. Step 2: Convert to fraction form
    31,481.98/47,211.63 = 10,418.13/x
  3. Step 3: Cross multiply
    31,481.98x = 47,211.63 × 10,418.13
  4. Step 4: Simplify right side
    31,481.98x = 491,856,898.85
  5. Step 5: Solve for x
    x = 491,856,898.85/31,481.98
  6. Step 6: Final answer
    x = 15,623.44

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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.