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Finding the Fourth Proportional to 47.85, 71.44 and 39.26

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Solution

The fourth proportional to 47.85, 71.44 and 39.26 is: 58.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.85 : 71.44 = 39.26 : x
  2. Step 2: Convert to fraction form
    47.85/71.44 = 39.26/x
  3. Step 3: Cross multiply
    47.85x = 71.44 × 39.26
  4. Step 4: Simplify right side
    47.85x = 2,804.73
  5. Step 5: Solve for x
    x = 2,804.73/47.85
  6. Step 6: Final answer
    x = 58.62

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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.