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Finding the Fourth Proportional to 39,600, 59,353.92 and 16,198.08

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Solution

The fourth proportional to 39,600, 59,353.92 and 16,198.08 is: 24,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 59,353.92 = 16,198.08 : x
  2. Step 2: Convert to fraction form
    39,600/59,353.92 = 16,198.08/x
  3. Step 3: Cross multiply
    39,600x = 59,353.92 × 16,198.08
  4. Step 4: Simplify right side
    39,600x = 961,419,544.47
  5. Step 5: Solve for x
    x = 961,419,544.47/39,600
  6. Step 6: Final answer
    x = 24,278.27

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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.