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Finding the Fourth Proportional to 49.24, 74.28 and 47.56

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Solution

The fourth proportional to 49.24, 74.28 and 47.56 is: 71.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.24 : 74.28 = 47.56 : x
  2. Step 2: Convert to fraction form
    49.24/74.28 = 47.56/x
  3. Step 3: Cross multiply
    49.24x = 74.28 × 47.56
  4. Step 4: Simplify right side
    49.24x = 3,532.76
  5. Step 5: Solve for x
    x = 3,532.76/49.24
  6. Step 6: Final answer
    x = 71.75

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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.