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Finding the Fourth Proportional to 39,576.92, 54,593.34 and 24,647

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Solution

The fourth proportional to 39,576.92, 54,593.34 and 24,647 is: 33,998.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576.92 : 54,593.34 = 24,647 : x
  2. Step 2: Convert to fraction form
    39,576.92/54,593.34 = 24,647/x
  3. Step 3: Cross multiply
    39,576.92x = 54,593.34 × 24,647
  4. Step 4: Simplify right side
    39,576.92x = 1,345,562,050.98
  5. Step 5: Solve for x
    x = 1,345,562,050.98/39,576.92
  6. Step 6: Final answer
    x = 33,998.66

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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.