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Finding the Fourth Proportional to 31,697.46, 47,555.91 and 11,982.06

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Solution

The fourth proportional to 31,697.46, 47,555.91 and 11,982.06 is: 17,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.46 : 47,555.91 = 11,982.06 : x
  2. Step 2: Convert to fraction form
    31,697.46/47,555.91 = 11,982.06/x
  3. Step 3: Cross multiply
    31,697.46x = 47,555.91 × 11,982.06
  4. Step 4: Simplify right side
    31,697.46x = 569,817,766.97
  5. Step 5: Solve for x
    x = 569,817,766.97/31,697.46
  6. Step 6: Final answer
    x = 17,976.76

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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.