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Finding the Fourth Proportional to 53,847, 80,774.82 and 16,911

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Solution

The fourth proportional to 53,847, 80,774.82 and 16,911 is: 25,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,847 : 80,774.82 = 16,911 : x
  2. Step 2: Convert to fraction form
    53,847/80,774.82 = 16,911/x
  3. Step 3: Cross multiply
    53,847x = 80,774.82 × 16,911
  4. Step 4: Simplify right side
    53,847x = 1,365,982,981.02
  5. Step 5: Solve for x
    x = 1,365,982,981.02/53,847
  6. Step 6: Final answer
    x = 25,367.86

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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.