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Finding the Fourth Proportional to 39.36, 54.38 and 36.24

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Solution

The fourth proportional to 39.36, 54.38 and 36.24 is: 50.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.36 : 54.38 = 36.24 : x
  2. Step 2: Convert to fraction form
    39.36/54.38 = 36.24/x
  3. Step 3: Cross multiply
    39.36x = 54.38 × 36.24
  4. Step 4: Simplify right side
    39.36x = 1,970.73
  5. Step 5: Solve for x
    x = 1,970.73/39.36
  6. Step 6: Final answer
    x = 50.07

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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.