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Finding the Fourth Proportional to 31,773.36, 47,665.44 and 10,992

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Solution

The fourth proportional to 31,773.36, 47,665.44 and 10,992 is: 16,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.36 : 47,665.44 = 10,992 : x
  2. Step 2: Convert to fraction form
    31,773.36/47,665.44 = 10,992/x
  3. Step 3: Cross multiply
    31,773.36x = 47,665.44 × 10,992
  4. Step 4: Simplify right side
    31,773.36x = 523,938,516.48
  5. Step 5: Solve for x
    x = 523,938,516.48/31,773.36
  6. Step 6: Final answer
    x = 16,489.87

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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.