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Finding the Fourth Proportional to 31,431.47, 43,375.04 and 23,401

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Solution

The fourth proportional to 31,431.47, 43,375.04 and 23,401 is: 32,293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.47 : 43,375.04 = 23,401 : x
  2. Step 2: Convert to fraction form
    31,431.47/43,375.04 = 23,401/x
  3. Step 3: Cross multiply
    31,431.47x = 43,375.04 × 23,401
  4. Step 4: Simplify right side
    31,431.47x = 1,015,019,311.04
  5. Step 5: Solve for x
    x = 1,015,019,311.04/31,431.47
  6. Step 6: Final answer
    x = 32,293.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.