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Finding the Fourth Proportional to 75,174.75, 103,744.58 and 41,640.75

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Solution

The fourth proportional to 75,174.75, 103,744.58 and 41,640.75 is: 57,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,174.75 : 103,744.58 = 41,640.75 : x
  2. Step 2: Convert to fraction form
    75,174.75/103,744.58 = 41,640.75/x
  3. Step 3: Cross multiply
    75,174.75x = 103,744.58 × 41,640.75
  4. Step 4: Simplify right side
    75,174.75x = 4,320,001,911.43
  5. Step 5: Solve for x
    x = 4,320,001,911.43/75,174.75
  6. Step 6: Final answer
    x = 57,466.13

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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.