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Finding the Fourth Proportional to 36,186.75, 49,937.72 and 20,271.20

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Solution

The fourth proportional to 36,186.75, 49,937.72 and 20,271.20 is: 27,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186.75 : 49,937.72 = 20,271.20 : x
  2. Step 2: Convert to fraction form
    36,186.75/49,937.72 = 20,271.20/x
  3. Step 3: Cross multiply
    36,186.75x = 49,937.72 × 20,271.20
  4. Step 4: Simplify right side
    36,186.75x = 1,012,297,158.62
  5. Step 5: Solve for x
    x = 1,012,297,158.62/36,186.75
  6. Step 6: Final answer
    x = 27,974.25

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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.