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Finding the Fourth Proportional to 75,211.58, 103,792 and 41,221.42

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Solution

The fourth proportional to 75,211.58, 103,792 and 41,221.42 is: 56,885.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,211.58 : 103,792 = 41,221.42 : x
  2. Step 2: Convert to fraction form
    75,211.58/103,792 = 41,221.42/x
  3. Step 3: Cross multiply
    75,211.58x = 103,792 × 41,221.42
  4. Step 4: Simplify right side
    75,211.58x = 4,278,453,105.68
  5. Step 5: Solve for x
    x = 4,278,453,105.68/75,211.58
  6. Step 6: Final answer
    x = 56,885.56

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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.