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Finding the Fourth Proportional to 75,269.87, 103,874.72 and 41,279.78

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Solution

The fourth proportional to 75,269.87, 103,874.72 and 41,279.78 is: 56,967.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,269.87 : 103,874.72 = 41,279.78 : x
  2. Step 2: Convert to fraction form
    75,269.87/103,874.72 = 41,279.78/x
  3. Step 3: Cross multiply
    75,269.87x = 103,874.72 × 41,279.78
  4. Step 4: Simplify right side
    75,269.87x = 4,287,924,863.39
  5. Step 5: Solve for x
    x = 4,287,924,863.39/75,269.87
  6. Step 6: Final answer
    x = 56,967.35

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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.