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Finding the Fourth Proportional to 38.61, 53.24 and 36.26

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Solution

The fourth proportional to 38.61, 53.24 and 36.26 is: 50.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.61 : 53.24 = 36.26 : x
  2. Step 2: Convert to fraction form
    38.61/53.24 = 36.26/x
  3. Step 3: Cross multiply
    38.61x = 53.24 × 36.26
  4. Step 4: Simplify right side
    38.61x = 1,930.54
  5. Step 5: Solve for x
    x = 1,930.54/38.61
  6. Step 6: Final answer
    x = 50.00

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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.