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Finding the Fourth Proportional to 53,618.62, 80,401.93 and 16,171.78

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Solution

The fourth proportional to 53,618.62, 80,401.93 and 16,171.78 is: 24,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,618.62 : 80,401.93 = 16,171.78 : x
  2. Step 2: Convert to fraction form
    53,618.62/80,401.93 = 16,171.78/x
  3. Step 3: Cross multiply
    53,618.62x = 80,401.93 × 16,171.78
  4. Step 4: Simplify right side
    53,618.62x = 1,300,242,323.54
  5. Step 5: Solve for x
    x = 1,300,242,323.54/53,618.62
  6. Step 6: Final answer
    x = 24,249.83

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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.