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Finding the Fourth Proportional to 36, 49.74 and 26.32

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Solution

The fourth proportional to 36, 49.74 and 26.32 is: 36.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 49.74 = 26.32 : x
  2. Step 2: Convert to fraction form
    36/49.74 = 26.32/x
  3. Step 3: Cross multiply
    36x = 49.74 × 26.32
  4. Step 4: Simplify right side
    36x = 1,309.16
  5. Step 5: Solve for x
    x = 1,309.16/36
  6. Step 6: Final answer
    x = 36.37

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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.