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Finding the Fourth Proportional to 31,658.48, 47,487.64 and 9,471.88

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Solution

The fourth proportional to 31,658.48, 47,487.64 and 9,471.88 is: 14,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.48 : 47,487.64 = 9,471.88 : x
  2. Step 2: Convert to fraction form
    31,658.48/47,487.64 = 9,471.88/x
  3. Step 3: Cross multiply
    31,658.48x = 47,487.64 × 9,471.88
  4. Step 4: Simplify right side
    31,658.48x = 449,797,227.56
  5. Step 5: Solve for x
    x = 449,797,227.56/31,658.48
  6. Step 6: Final answer
    x = 14,207.80

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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.