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Finding the Fourth Proportional to 49.21, 73.71 and 38.35

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Solution

The fourth proportional to 49.21, 73.71 and 38.35 is: 57.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.21 : 73.71 = 38.35 : x
  2. Step 2: Convert to fraction form
    49.21/73.71 = 38.35/x
  3. Step 3: Cross multiply
    49.21x = 73.71 × 38.35
  4. Step 4: Simplify right side
    49.21x = 2,826.78
  5. Step 5: Solve for x
    x = 2,826.78/49.21
  6. Step 6: Final answer
    x = 57.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.