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Finding the Fourth Proportional to 87,297.60, 120,470.84 and 49,571.84

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Solution

The fourth proportional to 87,297.60, 120,470.84 and 49,571.84 is: 68,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,297.60 : 120,470.84 = 49,571.84 : x
  2. Step 2: Convert to fraction form
    87,297.60/120,470.84 = 49,571.84/x
  3. Step 3: Cross multiply
    87,297.60x = 120,470.84 × 49,571.84
  4. Step 4: Simplify right side
    87,297.60x = 5,971,961,205.15
  5. Step 5: Solve for x
    x = 5,971,961,205.15/87,297.60
  6. Step 6: Final answer
    x = 68,409.23

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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.