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Finding the Fourth Proportional to 47,542.96, 71,311.56 and 12,481.84

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Solution

The fourth proportional to 47,542.96, 71,311.56 and 12,481.84 is: 18,722.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542.96 : 71,311.56 = 12,481.84 : x
  2. Step 2: Convert to fraction form
    47,542.96/71,311.56 = 12,481.84/x
  3. Step 3: Cross multiply
    47,542.96x = 71,311.56 × 12,481.84
  4. Step 4: Simplify right side
    47,542.96x = 890,099,482.07
  5. Step 5: Solve for x
    x = 890,099,482.07/47,542.96
  6. Step 6: Final answer
    x = 18,722.00

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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.