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Finding the Fourth Proportional to 47,843.78, 71,765.67 and 16,257.02

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Solution

The fourth proportional to 47,843.78, 71,765.67 and 16,257.02 is: 24,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,843.78 : 71,765.67 = 16,257.02 : x
  2. Step 2: Convert to fraction form
    47,843.78/71,765.67 = 16,257.02/x
  3. Step 3: Cross multiply
    47,843.78x = 71,765.67 × 16,257.02
  4. Step 4: Simplify right side
    47,843.78x = 1,166,695,932.50
  5. Step 5: Solve for x
    x = 1,166,695,932.50/47,843.78
  6. Step 6: Final answer
    x = 24,385.53

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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.