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Finding the Fourth Proportional to 75,245.38, 103,837.92 and 41,255.75

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Solution

The fourth proportional to 75,245.38, 103,837.92 and 41,255.75 is: 56,932.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,245.38 : 103,837.92 = 41,255.75 : x
  2. Step 2: Convert to fraction form
    75,245.38/103,837.92 = 41,255.75/x
  3. Step 3: Cross multiply
    75,245.38x = 103,837.92 × 41,255.75
  4. Step 4: Simplify right side
    75,245.38x = 4,283,911,268.04
  5. Step 5: Solve for x
    x = 4,283,911,268.04/75,245.38
  6. Step 6: Final answer
    x = 56,932.55

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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.