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Finding the Fourth Proportional to 75,394.24, 104,043.84 and 41,860

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Solution

The fourth proportional to 75,394.24, 104,043.84 and 41,860 is: 57,766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,394.24 : 104,043.84 = 41,860 : x
  2. Step 2: Convert to fraction form
    75,394.24/104,043.84 = 41,860/x
  3. Step 3: Cross multiply
    75,394.24x = 104,043.84 × 41,860
  4. Step 4: Simplify right side
    75,394.24x = 4,355,275,142.40
  5. Step 5: Solve for x
    x = 4,355,275,142.40/75,394.24
  6. Step 6: Final answer
    x = 57,766.68

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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.