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Finding the Fourth Proportional to 75,249.81, 103,843.22 and 41,715.81

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Solution

The fourth proportional to 75,249.81, 103,843.22 and 41,715.81 is: 57,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,249.81 : 103,843.22 = 41,715.81 : x
  2. Step 2: Convert to fraction form
    75,249.81/103,843.22 = 41,715.81/x
  3. Step 3: Cross multiply
    75,249.81x = 103,843.22 × 41,715.81
  4. Step 4: Simplify right side
    75,249.81x = 4,331,903,826.73
  5. Step 5: Solve for x
    x = 4,331,903,826.73/75,249.81
  6. Step 6: Final answer
    x = 57,566.97

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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.