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Finding the Fourth Proportional to 31,874.64, 47,812.20 and 11,083.56

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Solution

The fourth proportional to 31,874.64, 47,812.20 and 11,083.56 is: 16,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.64 : 47,812.20 = 11,083.56 : x
  2. Step 2: Convert to fraction form
    31,874.64/47,812.20 = 11,083.56/x
  3. Step 3: Cross multiply
    31,874.64x = 47,812.20 × 11,083.56
  4. Step 4: Simplify right side
    31,874.64x = 529,929,387.43
  5. Step 5: Solve for x
    x = 529,929,387.43/31,874.64
  6. Step 6: Final answer
    x = 16,625.42

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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.