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Finding the Fourth Proportional to 110,904.31, 166,474.86 and 47,755.70

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Solution

The fourth proportional to 110,904.31, 166,474.86 and 47,755.70 is: 71,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,904.31 : 166,474.86 = 47,755.70 : x
  2. Step 2: Convert to fraction form
    110,904.31/166,474.86 = 47,755.70/x
  3. Step 3: Cross multiply
    110,904.31x = 166,474.86 × 47,755.70
  4. Step 4: Simplify right side
    110,904.31x = 7,950,123,471.70
  5. Step 5: Solve for x
    x = 7,950,123,471.70/110,904.31
  6. Step 6: Final answer
    x = 71,684.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.