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Finding the Fourth Proportional to 39,859, 55,006.88 and 24,760

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Solution

The fourth proportional to 39,859, 55,006.88 and 24,760 is: 34,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,859 : 55,006.88 = 24,760 : x
  2. Step 2: Convert to fraction form
    39,859/55,006.88 = 24,760/x
  3. Step 3: Cross multiply
    39,859x = 55,006.88 × 24,760
  4. Step 4: Simplify right side
    39,859x = 1,361,970,348.80
  5. Step 5: Solve for x
    x = 1,361,970,348.80/39,859
  6. Step 6: Final answer
    x = 34,169.71

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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.