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Finding the Fourth Proportional to 49.64, 74.62 and 38.23

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Solution

The fourth proportional to 49.64, 74.62 and 38.23 is: 57.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.64 : 74.62 = 38.23 : x
  2. Step 2: Convert to fraction form
    49.64/74.62 = 38.23/x
  3. Step 3: Cross multiply
    49.64x = 74.62 × 38.23
  4. Step 4: Simplify right side
    49.64x = 2,852.58
  5. Step 5: Solve for x
    x = 2,852.58/49.64
  6. Step 6: Final answer
    x = 57.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.