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Finding the Fourth Proportional to 34.84, 47.81 and 32.80

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Solution

The fourth proportional to 34.84, 47.81 and 32.80 is: 45.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.84 : 47.81 = 32.80 : x
  2. Step 2: Convert to fraction form
    34.84/47.81 = 32.80/x
  3. Step 3: Cross multiply
    34.84x = 47.81 × 32.80
  4. Step 4: Simplify right side
    34.84x = 1,568.17
  5. Step 5: Solve for x
    x = 1,568.17/34.84
  6. Step 6: Final answer
    x = 45.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.