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Finding the Fourth Proportional to 47,856, 71,787.30 and 16,253.16

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Solution

The fourth proportional to 47,856, 71,787.30 and 16,253.16 is: 24,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 71,787.30 = 16,253.16 : x
  2. Step 2: Convert to fraction form
    47,856/71,787.30 = 16,253.16/x
  3. Step 3: Cross multiply
    47,856x = 71,787.30 × 16,253.16
  4. Step 4: Simplify right side
    47,856x = 1,166,770,391.60
  5. Step 5: Solve for x
    x = 1,166,770,391.60/47,856
  6. Step 6: Final answer
    x = 24,380.86

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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.