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Finding the Fourth Proportional to 31,937.70, 47,906.64 and 11,161.20

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Solution

The fourth proportional to 31,937.70, 47,906.64 and 11,161.20 is: 16,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.70 : 47,906.64 = 11,161.20 : x
  2. Step 2: Convert to fraction form
    31,937.70/47,906.64 = 11,161.20/x
  3. Step 3: Cross multiply
    31,937.70x = 47,906.64 × 11,161.20
  4. Step 4: Simplify right side
    31,937.70x = 534,695,590.37
  5. Step 5: Solve for x
    x = 534,695,590.37/31,937.70
  6. Step 6: Final answer
    x = 16,741.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.