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Finding the Fourth Proportional to 87,405.25, 120,619.38 and 49,679.50

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Solution

The fourth proportional to 87,405.25, 120,619.38 and 49,679.50 is: 68,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,405.25 : 120,619.38 = 49,679.50 : x
  2. Step 2: Convert to fraction form
    87,405.25/120,619.38 = 49,679.50/x
  3. Step 3: Cross multiply
    87,405.25x = 120,619.38 × 49,679.50
  4. Step 4: Simplify right side
    87,405.25x = 5,992,310,488.71
  5. Step 5: Solve for x
    x = 5,992,310,488.71/87,405.25
  6. Step 6: Final answer
    x = 68,557.79

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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.