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Finding the Fourth Proportional to 36.09, 49.78 and 24.43

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Solution

The fourth proportional to 36.09, 49.78 and 24.43 is: 33.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.09 : 49.78 = 24.43 : x
  2. Step 2: Convert to fraction form
    36.09/49.78 = 24.43/x
  3. Step 3: Cross multiply
    36.09x = 49.78 × 24.43
  4. Step 4: Simplify right side
    36.09x = 1,216.13
  5. Step 5: Solve for x
    x = 1,216.13/36.09
  6. Step 6: Final answer
    x = 33.70

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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.