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Finding the Fourth Proportional to 47.84, 71.61 and 34.27

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Solution

The fourth proportional to 47.84, 71.61 and 34.27 is: 51.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.61 = 34.27 : x
  2. Step 2: Convert to fraction form
    47.84/71.61 = 34.27/x
  3. Step 3: Cross multiply
    47.84x = 71.61 × 34.27
  4. Step 4: Simplify right side
    47.84x = 2,454.07
  5. Step 5: Solve for x
    x = 2,454.07/47.84
  6. Step 6: Final answer
    x = 51.30

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Why These Related Problems?

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