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Finding the Fourth Proportional to 36,122.70, 49,853.09 and 20,809.78

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Solution

The fourth proportional to 36,122.70, 49,853.09 and 20,809.78 is: 28,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,122.70 : 49,853.09 = 20,809.78 : x
  2. Step 2: Convert to fraction form
    36,122.70/49,853.09 = 20,809.78/x
  3. Step 3: Cross multiply
    36,122.70x = 49,853.09 × 20,809.78
  4. Step 4: Simplify right side
    36,122.70x = 1,037,431,835.22
  5. Step 5: Solve for x
    x = 1,037,431,835.22/36,122.70
  6. Step 6: Final answer
    x = 28,719.66

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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.