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Finding the Fourth Proportional to 87,561.24, 120,835.98 and 49,839

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Solution

The fourth proportional to 87,561.24, 120,835.98 and 49,839 is: 68,778.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,561.24 : 120,835.98 = 49,839 : x
  2. Step 2: Convert to fraction form
    87,561.24/120,835.98 = 49,839/x
  3. Step 3: Cross multiply
    87,561.24x = 120,835.98 × 49,839
  4. Step 4: Simplify right side
    87,561.24x = 6,022,344,407.22
  5. Step 5: Solve for x
    x = 6,022,344,407.22/87,561.24
  6. Step 6: Final answer
    x = 68,778.66

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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.