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Finding the Fourth Proportional to 31,446.00, 47,168.99 and 8,072.43

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Solution

The fourth proportional to 31,446.00, 47,168.99 and 8,072.43 is: 12,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,446.00 : 47,168.99 = 8,072.43 : x
  2. Step 2: Convert to fraction form
    31,446.00/47,168.99 = 8,072.43/x
  3. Step 3: Cross multiply
    31,446.00x = 47,168.99 × 8,072.43
  4. Step 4: Simplify right side
    31,446.00x = 380,768,508.05
  5. Step 5: Solve for x
    x = 380,768,508.05/31,446.00
  6. Step 6: Final answer
    x = 12,108.65

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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.