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Finding the Fourth Proportional to 32.84, 49.26 and 15.73

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Solution

The fourth proportional to 32.84, 49.26 and 15.73 is: 23.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.84 : 49.26 = 15.73 : x
  2. Step 2: Convert to fraction form
    32.84/49.26 = 15.73/x
  3. Step 3: Cross multiply
    32.84x = 49.26 × 15.73
  4. Step 4: Simplify right side
    32.84x = 774.53
  5. Step 5: Solve for x
    x = 774.53/32.84
  6. Step 6: Final answer
    x = 23.59

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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.