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Finding the Fourth Proportional to 73,204.86, 101,022.78 and 39,670.86

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Solution

The fourth proportional to 73,204.86, 101,022.78 and 39,670.86 is: 54,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204.86 : 101,022.78 = 39,670.86 : x
  2. Step 2: Convert to fraction form
    73,204.86/101,022.78 = 39,670.86/x
  3. Step 3: Cross multiply
    73,204.86x = 101,022.78 × 39,670.86
  4. Step 4: Simplify right side
    73,204.86x = 4,007,660,562.19
  5. Step 5: Solve for x
    x = 4,007,660,562.19/73,204.86
  6. Step 6: Final answer
    x = 54,745.83

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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.