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Finding the Fourth Proportional to 87,570.75, 120,847.77 and 49,845

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Solution

The fourth proportional to 87,570.75, 120,847.77 and 49,845 is: 68,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,570.75 : 120,847.77 = 49,845 : x
  2. Step 2: Convert to fraction form
    87,570.75/120,847.77 = 49,845/x
  3. Step 3: Cross multiply
    87,570.75x = 120,847.77 × 49,845
  4. Step 4: Simplify right side
    87,570.75x = 6,023,657,095.65
  5. Step 5: Solve for x
    x = 6,023,657,095.65/87,570.75
  6. Step 6: Final answer
    x = 68,786.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.