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Finding the Fourth Proportional to 75,305.86, 103,922.19 and 41,771.86

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Solution

The fourth proportional to 75,305.86, 103,922.19 and 41,771.86 is: 57,645.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305.86 : 103,922.19 = 41,771.86 : x
  2. Step 2: Convert to fraction form
    75,305.86/103,922.19 = 41,771.86/x
  3. Step 3: Cross multiply
    75,305.86x = 103,922.19 × 41,771.86
  4. Step 4: Simplify right side
    75,305.86x = 4,341,023,171.57
  5. Step 5: Solve for x
    x = 4,341,023,171.57/75,305.86
  6. Step 6: Final answer
    x = 57,645.22

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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.