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Finding the Fourth Proportional to 75,243.38, 103,835.16 and 41,253.75

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Solution

The fourth proportional to 75,243.38, 103,835.16 and 41,253.75 is: 56,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,243.38 : 103,835.16 = 41,253.75 : x
  2. Step 2: Convert to fraction form
    75,243.38/103,835.16 = 41,253.75/x
  3. Step 3: Cross multiply
    75,243.38x = 103,835.16 × 41,253.75
  4. Step 4: Simplify right side
    75,243.38x = 4,283,589,731.85
  5. Step 5: Solve for x
    x = 4,283,589,731.85/75,243.38
  6. Step 6: Final answer
    x = 56,929.79

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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.