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Finding the Fourth Proportional to 54,951.75, 75,760.11 and 43,658.73

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Solution

The fourth proportional to 54,951.75, 75,760.11 and 43,658.73 is: 60,190.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,951.75 : 75,760.11 = 43,658.73 : x
  2. Step 2: Convert to fraction form
    54,951.75/75,760.11 = 43,658.73/x
  3. Step 3: Cross multiply
    54,951.75x = 75,760.11 × 43,658.73
  4. Step 4: Simplify right side
    54,951.75x = 3,307,590,187.26
  5. Step 5: Solve for x
    x = 3,307,590,187.26/54,951.75
  6. Step 6: Final answer
    x = 60,190.81

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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.