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Finding the Fourth Proportional to 75,183.98, 103,754.75 and 41,192.55

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Solution

The fourth proportional to 75,183.98, 103,754.75 and 41,192.55 is: 56,846.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,183.98 : 103,754.75 = 41,192.55 : x
  2. Step 2: Convert to fraction form
    75,183.98/103,754.75 = 41,192.55/x
  3. Step 3: Cross multiply
    75,183.98x = 103,754.75 × 41,192.55
  4. Step 4: Simplify right side
    75,183.98x = 4,273,922,521.15
  5. Step 5: Solve for x
    x = 4,273,922,521.15/75,183.98
  6. Step 6: Final answer
    x = 56,846.19

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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.