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Finding the Fourth Proportional to 75,305.69, 103,923.24 and 41,315.92

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Solution

The fourth proportional to 75,305.69, 103,923.24 and 41,315.92 is: 57,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305.69 : 103,923.24 = 41,315.92 : x
  2. Step 2: Convert to fraction form
    75,305.69/103,923.24 = 41,315.92/x
  3. Step 3: Cross multiply
    75,305.69x = 103,923.24 × 41,315.92
  4. Step 4: Simplify right side
    75,305.69x = 4,293,684,269.98
  5. Step 5: Solve for x
    x = 4,293,684,269.98/75,305.69
  6. Step 6: Final answer
    x = 57,016.73

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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.