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Finding the Fourth Proportional to 73,204.75, 101,022.56 and 39,670.75

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Solution

The fourth proportional to 73,204.75, 101,022.56 and 39,670.75 is: 54,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,204.75 : 101,022.56 = 39,670.75 : x
  2. Step 2: Convert to fraction form
    73,204.75/101,022.56 = 39,670.75/x
  3. Step 3: Cross multiply
    73,204.75x = 101,022.56 × 39,670.75
  4. Step 4: Simplify right side
    73,204.75x = 4,007,640,722.12
  5. Step 5: Solve for x
    x = 4,007,640,722.12/73,204.75
  6. Step 6: Final answer
    x = 54,745.64

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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.