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Finding the Fourth Proportional to 31,408.92, 47,108.48 and 20,393.73

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Solution

The fourth proportional to 31,408.92, 47,108.48 and 20,393.73 is: 30,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.92 : 47,108.48 = 20,393.73 : x
  2. Step 2: Convert to fraction form
    31,408.92/47,108.48 = 20,393.73/x
  3. Step 3: Cross multiply
    31,408.92x = 47,108.48 × 20,393.73
  4. Step 4: Simplify right side
    31,408.92x = 960,717,519.86
  5. Step 5: Solve for x
    x = 960,717,519.86/31,408.92
  6. Step 6: Final answer
    x = 30,587.41

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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.