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Finding the Fourth Proportional to 36.12, 49.81 and 23.82

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Solution

The fourth proportional to 36.12, 49.81 and 23.82 is: 32.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.12 : 49.81 = 23.82 : x
  2. Step 2: Convert to fraction form
    36.12/49.81 = 23.82/x
  3. Step 3: Cross multiply
    36.12x = 49.81 × 23.82
  4. Step 4: Simplify right side
    36.12x = 1,186.36
  5. Step 5: Solve for x
    x = 1,186.36/36.12
  6. Step 6: Final answer
    x = 32.84

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Why These Related Problems?

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