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Finding the Fourth Proportional to 47,644.50, 71,469.78 and 16,051.98

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Solution

The fourth proportional to 47,644.50, 71,469.78 and 16,051.98 is: 24,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.50 : 71,469.78 = 16,051.98 : x
  2. Step 2: Convert to fraction form
    47,644.50/71,469.78 = 16,051.98/x
  3. Step 3: Cross multiply
    47,644.50x = 71,469.78 × 16,051.98
  4. Step 4: Simplify right side
    47,644.50x = 1,147,231,479.16
  5. Step 5: Solve for x
    x = 1,147,231,479.16/47,644.50
  6. Step 6: Final answer
    x = 24,078.99

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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.