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Finding the Fourth Proportional to 47,942.43, 66,160.84 and 27,811.30

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Solution

The fourth proportional to 47,942.43, 66,160.84 and 27,811.30 is: 38,379.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,942.43 : 66,160.84 = 27,811.30 : x
  2. Step 2: Convert to fraction form
    47,942.43/66,160.84 = 27,811.30/x
  3. Step 3: Cross multiply
    47,942.43x = 66,160.84 × 27,811.30
  4. Step 4: Simplify right side
    47,942.43x = 1,840,018,873.62
  5. Step 5: Solve for x
    x = 1,840,018,873.62/47,942.43
  6. Step 6: Final answer
    x = 38,379.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.