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Finding the Fourth Proportional to 32.44, 48.28 and 31.84

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Solution

The fourth proportional to 32.44, 48.28 and 31.84 is: 47.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.44 : 48.28 = 31.84 : x
  2. Step 2: Convert to fraction form
    32.44/48.28 = 31.84/x
  3. Step 3: Cross multiply
    32.44x = 48.28 × 31.84
  4. Step 4: Simplify right side
    32.44x = 1,537.24
  5. Step 5: Solve for x
    x = 1,537.24/32.44
  6. Step 6: Final answer
    x = 47.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.