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Finding the Fourth Proportional to 47.64, 65.61 and 36

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Solution

The fourth proportional to 47.64, 65.61 and 36 is: 49.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.64 : 65.61 = 36 : x
  2. Step 2: Convert to fraction form
    47.64/65.61 = 36/x
  3. Step 3: Cross multiply
    47.64x = 65.61 × 36
  4. Step 4: Simplify right side
    47.64x = 2,361.96
  5. Step 5: Solve for x
    x = 2,361.96/47.64
  6. Step 6: Final answer
    x = 49.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.