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Finding the Fourth Proportional to 49.34, 73.86 and 33.02

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Solution

The fourth proportional to 49.34, 73.86 and 33.02 is: 49.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.34 : 73.86 = 33.02 : x
  2. Step 2: Convert to fraction form
    49.34/73.86 = 33.02/x
  3. Step 3: Cross multiply
    49.34x = 73.86 × 33.02
  4. Step 4: Simplify right side
    49.34x = 2,438.86
  5. Step 5: Solve for x
    x = 2,438.86/49.34
  6. Step 6: Final answer
    x = 49.43

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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.