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Finding the Fourth Proportional to 31,370.76, 47,057.40 and 7,997.40

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Solution

The fourth proportional to 31,370.76, 47,057.40 and 7,997.40 is: 11,996.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,370.76 : 47,057.40 = 7,997.40 : x
  2. Step 2: Convert to fraction form
    31,370.76/47,057.40 = 7,997.40/x
  3. Step 3: Cross multiply
    31,370.76x = 47,057.40 × 7,997.40
  4. Step 4: Simplify right side
    31,370.76x = 376,336,850.76
  5. Step 5: Solve for x
    x = 376,336,850.76/31,370.76
  6. Step 6: Final answer
    x = 11,996.42

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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.