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Finding the Fourth Proportional to 31,371.48, 47,056.88 and 7,997.68

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Solution

The fourth proportional to 31,371.48, 47,056.88 and 7,997.68 is: 11,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,371.48 : 47,056.88 = 7,997.68 : x
  2. Step 2: Convert to fraction form
    31,371.48/47,056.88 = 7,997.68/x
  3. Step 3: Cross multiply
    31,371.48x = 47,056.88 × 7,997.68
  4. Step 4: Simplify right side
    31,371.48x = 376,345,868.04
  5. Step 5: Solve for x
    x = 376,345,868.04/31,371.48
  6. Step 6: Final answer
    x = 11,996.43

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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.