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Finding the Fourth Proportional to 75,212.10, 103,794.04 and 41,218.33

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Solution

The fourth proportional to 75,212.10, 103,794.04 and 41,218.33 is: 56,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,212.10 : 103,794.04 = 41,218.33 : x
  2. Step 2: Convert to fraction form
    75,212.10/103,794.04 = 41,218.33/x
  3. Step 3: Cross multiply
    75,212.10x = 103,794.04 × 41,218.33
  4. Step 4: Simplify right side
    75,212.10x = 4,278,216,630.22
  5. Step 5: Solve for x
    x = 4,278,216,630.22/75,212.10
  6. Step 6: Final answer
    x = 56,882.02

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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.