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Finding the Fourth Proportional to 36,170.20, 49,912.50 and 20,251

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Solution

The fourth proportional to 36,170.20, 49,912.50 and 20,251 is: 27,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,170.20 : 49,912.50 = 20,251 : x
  2. Step 2: Convert to fraction form
    36,170.20/49,912.50 = 20,251/x
  3. Step 3: Cross multiply
    36,170.20x = 49,912.50 × 20,251
  4. Step 4: Simplify right side
    36,170.20x = 1,010,778,037.50
  5. Step 5: Solve for x
    x = 1,010,778,037.50/36,170.20
  6. Step 6: Final answer
    x = 27,945.05

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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.