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Finding the Fourth Proportional to 87,584.80, 120,867.14 and 49,859

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Solution

The fourth proportional to 87,584.80, 120,867.14 and 49,859 is: 68,805.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,584.80 : 120,867.14 = 49,859 : x
  2. Step 2: Convert to fraction form
    87,584.80/120,867.14 = 49,859/x
  3. Step 3: Cross multiply
    87,584.80x = 120,867.14 × 49,859
  4. Step 4: Simplify right side
    87,584.80x = 6,026,314,733.26
  5. Step 5: Solve for x
    x = 6,026,314,733.26/87,584.80
  6. Step 6: Final answer
    x = 68,805.49

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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.