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Finding the Fourth Proportional to 36,091.50, 49,819.77 and 27,164.76

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Solution

The fourth proportional to 36,091.50, 49,819.77 and 27,164.76 is: 37,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,091.50 : 49,819.77 = 27,164.76 : x
  2. Step 2: Convert to fraction form
    36,091.50/49,819.77 = 27,164.76/x
  3. Step 3: Cross multiply
    36,091.50x = 49,819.77 × 27,164.76
  4. Step 4: Simplify right side
    36,091.50x = 1,353,342,095.31
  5. Step 5: Solve for x
    x = 1,353,342,095.31/36,091.50
  6. Step 6: Final answer
    x = 37,497.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.