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Finding the Fourth Proportional to 49.64, 74.84 and 47.03

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Solution

The fourth proportional to 49.64, 74.84 and 47.03 is: 70.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 74.84 = 47.03 : x
  2. Step 2: Convert to fraction form
    49.64/74.84 = 47.03/x
  3. Step 3: Cross multiply
    49.64x = 74.84 × 47.03
  4. Step 4: Simplify right side
    49.64x = 3,519.73
  5. Step 5: Solve for x
    x = 3,519.73/49.64
  6. Step 6: Final answer
    x = 70.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.