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Finding the Fourth Proportional to 27,737, 38,277.22 and 17,801

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Solution

The fourth proportional to 27,737, 38,277.22 and 17,801 is: 24,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,737 : 38,277.22 = 17,801 : x
  2. Step 2: Convert to fraction form
    27,737/38,277.22 = 17,801/x
  3. Step 3: Cross multiply
    27,737x = 38,277.22 × 17,801
  4. Step 4: Simplify right side
    27,737x = 681,372,793.22
  5. Step 5: Solve for x
    x = 681,372,793.22/27,737
  6. Step 6: Final answer
    x = 24,565.48

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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.