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Finding the Fourth Proportional to 31,963.88, 47,940.06 and 11,193.32

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Solution

The fourth proportional to 31,963.88, 47,940.06 and 11,193.32 is: 16,787.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.88 : 47,940.06 = 11,193.32 : x
  2. Step 2: Convert to fraction form
    31,963.88/47,940.06 = 11,193.32/x
  3. Step 3: Cross multiply
    31,963.88x = 47,940.06 × 11,193.32
  4. Step 4: Simplify right side
    31,963.88x = 536,608,432.40
  5. Step 5: Solve for x
    x = 536,608,432.40/31,963.88
  6. Step 6: Final answer
    x = 16,787.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.