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Finding the Fourth Proportional to 47.24, 65.49 and 44.48

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Solution

The fourth proportional to 47.24, 65.49 and 44.48 is: 61.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.24 : 65.49 = 44.48 : x
  2. Step 2: Convert to fraction form
    47.24/65.49 = 44.48/x
  3. Step 3: Cross multiply
    47.24x = 65.49 × 44.48
  4. Step 4: Simplify right side
    47.24x = 2,913.00
  5. Step 5: Solve for x
    x = 2,913.00/47.24
  6. Step 6: Final answer
    x = 61.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.