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Finding the Fourth Proportional to 47.84, 71.44 and 41.40

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Solution

The fourth proportional to 47.84, 71.44 and 41.40 is: 61.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.44 = 41.40 : x
  2. Step 2: Convert to fraction form
    47.84/71.44 = 41.40/x
  3. Step 3: Cross multiply
    47.84x = 71.44 × 41.40
  4. Step 4: Simplify right side
    47.84x = 2,957.62
  5. Step 5: Solve for x
    x = 2,957.62/47.84
  6. Step 6: Final answer
    x = 61.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.