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Finding the Fourth Proportional to 75,940.56, 104,796 and 41,951.88

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Solution

The fourth proportional to 75,940.56, 104,796 and 41,951.88 is: 57,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940.56 : 104,796 = 41,951.88 : x
  2. Step 2: Convert to fraction form
    75,940.56/104,796 = 41,951.88/x
  3. Step 3: Cross multiply
    75,940.56x = 104,796 × 41,951.88
  4. Step 4: Simplify right side
    75,940.56x = 4,396,389,216.48
  5. Step 5: Solve for x
    x = 4,396,389,216.48/75,940.56
  6. Step 6: Final answer
    x = 57,892.50

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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.