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Finding the Fourth Proportional to 31,837, 47,755.44 and 8,463.43

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Solution

The fourth proportional to 31,837, 47,755.44 and 8,463.43 is: 12,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837 : 47,755.44 = 8,463.43 : x
  2. Step 2: Convert to fraction form
    31,837/47,755.44 = 8,463.43/x
  3. Step 3: Cross multiply
    31,837x = 47,755.44 × 8,463.43
  4. Step 4: Simplify right side
    31,837x = 404,174,823.56
  5. Step 5: Solve for x
    x = 404,174,823.56/31,837
  6. Step 6: Final answer
    x = 12,695.13

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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.