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Finding the Fourth Proportional to 75,186.87, 103,759.70 and 41,652.87

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Solution

The fourth proportional to 75,186.87, 103,759.70 and 41,652.87 is: 57,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,186.87 : 103,759.70 = 41,652.87 : x
  2. Step 2: Convert to fraction form
    75,186.87/103,759.70 = 41,652.87/x
  3. Step 3: Cross multiply
    75,186.87x = 103,759.70 × 41,652.87
  4. Step 4: Simplify right side
    75,186.87x = 4,321,889,087.07
  5. Step 5: Solve for x
    x = 4,321,889,087.07/75,186.87
  6. Step 6: Final answer
    x = 57,481.97

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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.