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Finding the Fourth Proportional to 31,481.80, 47,222.70 and 10,705.30

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Solution

The fourth proportional to 31,481.80, 47,222.70 and 10,705.30 is: 16,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.80 : 47,222.70 = 10,705.30 : x
  2. Step 2: Convert to fraction form
    31,481.80/47,222.70 = 10,705.30/x
  3. Step 3: Cross multiply
    31,481.80x = 47,222.70 × 10,705.30
  4. Step 4: Simplify right side
    31,481.80x = 505,533,170.31
  5. Step 5: Solve for x
    x = 505,533,170.31/31,481.80
  6. Step 6: Final answer
    x = 16,057.95

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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.