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Finding the Fourth Proportional to 47,773.80, 71,693.10 and 31,093.20

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Solution

The fourth proportional to 47,773.80, 71,693.10 and 31,093.20 is: 46,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,773.80 : 71,693.10 = 31,093.20 : x
  2. Step 2: Convert to fraction form
    47,773.80/71,693.10 = 31,093.20/x
  3. Step 3: Cross multiply
    47,773.80x = 71,693.10 × 31,093.20
  4. Step 4: Simplify right side
    47,773.80x = 2,229,167,896.92
  5. Step 5: Solve for x
    x = 2,229,167,896.92/47,773.80
  6. Step 6: Final answer
    x = 46,660.89

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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.