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Finding the Fourth Proportional to 31.63, 47.44 and 19.63

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Solution

The fourth proportional to 31.63, 47.44 and 19.63 is: 29.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.63 : 47.44 = 19.63 : x
  2. Step 2: Convert to fraction form
    31.63/47.44 = 19.63/x
  3. Step 3: Cross multiply
    31.63x = 47.44 × 19.63
  4. Step 4: Simplify right side
    31.63x = 931.01
  5. Step 5: Solve for x
    x = 931.01/31.63
  6. Step 6: Final answer
    x = 29.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.