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Finding the Fourth Proportional to 31,680.99, 47,517.17 and 8,305.47

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Solution

The fourth proportional to 31,680.99, 47,517.17 and 8,305.47 is: 12,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.99 : 47,517.17 = 8,305.47 : x
  2. Step 2: Convert to fraction form
    31,680.99/47,517.17 = 8,305.47/x
  3. Step 3: Cross multiply
    31,680.99x = 47,517.17 × 8,305.47
  4. Step 4: Simplify right side
    31,680.99x = 394,652,388.39
  5. Step 5: Solve for x
    x = 394,652,388.39/31,680.99
  6. Step 6: Final answer
    x = 12,457.07

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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.