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Finding the Fourth Proportional to 75,493, 104,186.82 and 41,965.48

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Solution

The fourth proportional to 75,493, 104,186.82 and 41,965.48 is: 57,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,493 : 104,186.82 = 41,965.48 : x
  2. Step 2: Convert to fraction form
    75,493/104,186.82 = 41,965.48/x
  3. Step 3: Cross multiply
    75,493x = 104,186.82 × 41,965.48
  4. Step 4: Simplify right side
    75,493x = 4,372,249,910.97
  5. Step 5: Solve for x
    x = 4,372,249,910.97/75,493
  6. Step 6: Final answer
    x = 57,915.96

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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.