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Finding the Fourth Proportional to 75,495.38, 104,190.10 and 41,967.86

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Solution

The fourth proportional to 75,495.38, 104,190.10 and 41,967.86 is: 57,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,495.38 : 104,190.10 = 41,967.86 : x
  2. Step 2: Convert to fraction form
    75,495.38/104,190.10 = 41,967.86/x
  3. Step 3: Cross multiply
    75,495.38x = 104,190.10 × 41,967.86
  4. Step 4: Simplify right side
    75,495.38x = 4,372,635,530.19
  5. Step 5: Solve for x
    x = 4,372,635,530.19/75,495.38
  6. Step 6: Final answer
    x = 57,919.25

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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.