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Finding the Fourth Proportional to 36,040.66, 49,734.48 and 20,122

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Solution

The fourth proportional to 36,040.66, 49,734.48 and 20,122 is: 27,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,040.66 : 49,734.48 = 20,122 : x
  2. Step 2: Convert to fraction form
    36,040.66/49,734.48 = 20,122/x
  3. Step 3: Cross multiply
    36,040.66x = 49,734.48 × 20,122
  4. Step 4: Simplify right side
    36,040.66x = 1,000,757,206.56
  5. Step 5: Solve for x
    x = 1,000,757,206.56/36,040.66
  6. Step 6: Final answer
    x = 27,767.45

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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.