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Finding the Fourth Proportional to 47.84, 71.80 and 23.82

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Solution

The fourth proportional to 47.84, 71.80 and 23.82 is: 35.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.80 = 23.82 : x
  2. Step 2: Convert to fraction form
    47.84/71.80 = 23.82/x
  3. Step 3: Cross multiply
    47.84x = 71.80 × 23.82
  4. Step 4: Simplify right side
    47.84x = 1,710.28
  5. Step 5: Solve for x
    x = 1,710.28/47.84
  6. Step 6: Final answer
    x = 35.75

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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.