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Finding the Fourth Proportional to 31,777.84, 47,614.92 and 16,174

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Solution

The fourth proportional to 31,777.84, 47,614.92 and 16,174 is: 24,234.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,777.84 : 47,614.92 = 16,174 : x
  2. Step 2: Convert to fraction form
    31,777.84/47,614.92 = 16,174/x
  3. Step 3: Cross multiply
    31,777.84x = 47,614.92 × 16,174
  4. Step 4: Simplify right side
    31,777.84x = 770,123,716.08
  5. Step 5: Solve for x
    x = 770,123,716.08/31,777.84
  6. Step 6: Final answer
    x = 24,234.61

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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.