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Finding the Fourth Proportional to 31,846.99, 47,770.60 and 9,660.56

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Solution

The fourth proportional to 31,846.99, 47,770.60 and 9,660.56 is: 14,490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.99 : 47,770.60 = 9,660.56 : x
  2. Step 2: Convert to fraction form
    31,846.99/47,770.60 = 9,660.56/x
  3. Step 3: Cross multiply
    31,846.99x = 47,770.60 × 9,660.56
  4. Step 4: Simplify right side
    31,846.99x = 461,490,747.54
  5. Step 5: Solve for x
    x = 461,490,747.54/31,846.99
  6. Step 6: Final answer
    x = 14,490.87

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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.