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Finding the Fourth Proportional to 47.97, 72.09 and 35.82

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Solution

The fourth proportional to 47.97, 72.09 and 35.82 is: 53.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.97 : 72.09 = 35.82 : x
  2. Step 2: Convert to fraction form
    47.97/72.09 = 35.82/x
  3. Step 3: Cross multiply
    47.97x = 72.09 × 35.82
  4. Step 4: Simplify right side
    47.97x = 2,582.26
  5. Step 5: Solve for x
    x = 2,582.26/47.97
  6. Step 6: Final answer
    x = 53.83

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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.