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Finding the Fourth Proportional to 47.84, 71.46 and 41.72

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Solution

The fourth proportional to 47.84, 71.46 and 41.72 is: 62.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.84 : 71.46 = 41.72 : x
  2. Step 2: Convert to fraction form
    47.84/71.46 = 41.72/x
  3. Step 3: Cross multiply
    47.84x = 71.46 × 41.72
  4. Step 4: Simplify right side
    47.84x = 2,980.95
  5. Step 5: Solve for x
    x = 2,980.95/47.84
  6. Step 6: Final answer
    x = 62.32

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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.