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Finding the Fourth Proportional to 31,892.36, 47,838.38 and 8,199.88

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Solution

The fourth proportional to 31,892.36, 47,838.38 and 8,199.88 is: 12,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,892.36 : 47,838.38 = 8,199.88 : x
  2. Step 2: Convert to fraction form
    31,892.36/47,838.38 = 8,199.88/x
  3. Step 3: Cross multiply
    31,892.36x = 47,838.38 × 8,199.88
  4. Step 4: Simplify right side
    31,892.36x = 392,268,975.39
  5. Step 5: Solve for x
    x = 392,268,975.39/31,892.36
  6. Step 6: Final answer
    x = 12,299.78

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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.