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Finding the Fourth Proportional to 75,212.36, 103,794.38 and 41,218.58

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Solution

The fourth proportional to 75,212.36, 103,794.38 and 41,218.58 is: 56,882.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.36 : 103,794.38 = 41,218.58 : x
  2. Step 2: Convert to fraction form
    75,212.36/103,794.38 = 41,218.58/x
  3. Step 3: Cross multiply
    75,212.36x = 103,794.38 × 41,218.58
  4. Step 4: Simplify right side
    75,212.36x = 4,278,256,799.14
  5. Step 5: Solve for x
    x = 4,278,256,799.14/75,212.36
  6. Step 6: Final answer
    x = 56,882.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.