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Finding the Fourth Proportional to 50,788.76, 76,211.94 and 27,414.68

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Solution

The fourth proportional to 50,788.76, 76,211.94 and 27,414.68 is: 41,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,788.76 : 76,211.94 = 27,414.68 : x
  2. Step 2: Convert to fraction form
    50,788.76/76,211.94 = 27,414.68/x
  3. Step 3: Cross multiply
    50,788.76x = 76,211.94 × 27,414.68
  4. Step 4: Simplify right side
    50,788.76x = 2,089,325,947.28
  5. Step 5: Solve for x
    x = 2,089,325,947.28/50,788.76
  6. Step 6: Final answer
    x = 41,137.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.