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Finding the Fourth Proportional to 31,796.85, 47,697.18 and 8,423.22

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Solution

The fourth proportional to 31,796.85, 47,697.18 and 8,423.22 is: 12,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,796.85 : 47,697.18 = 8,423.22 : x
  2. Step 2: Convert to fraction form
    31,796.85/47,697.18 = 8,423.22/x
  3. Step 3: Cross multiply
    31,796.85x = 47,697.18 × 8,423.22
  4. Step 4: Simplify right side
    31,796.85x = 401,763,840.52
  5. Step 5: Solve for x
    x = 401,763,840.52/31,796.85
  6. Step 6: Final answer
    x = 12,635.33

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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.