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Finding the Fourth Proportional to 47.02, 64.82 and 36.77

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Solution

The fourth proportional to 47.02, 64.82 and 36.77 is: 50.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.02 : 64.82 = 36.77 : x
  2. Step 2: Convert to fraction form
    47.02/64.82 = 36.77/x
  3. Step 3: Cross multiply
    47.02x = 64.82 × 36.77
  4. Step 4: Simplify right side
    47.02x = 2,383.43
  5. Step 5: Solve for x
    x = 2,383.43/47.02
  6. Step 6: Final answer
    x = 50.69

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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.