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Finding the Fourth Proportional to 34.40, 47.47 and 23.49

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Solution

The fourth proportional to 34.40, 47.47 and 23.49 is: 32.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.40 : 47.47 = 23.49 : x
  2. Step 2: Convert to fraction form
    34.40/47.47 = 23.49/x
  3. Step 3: Cross multiply
    34.40x = 47.47 × 23.49
  4. Step 4: Simplify right side
    34.40x = 1,115.25
  5. Step 5: Solve for x
    x = 1,115.25/34.40
  6. Step 6: Final answer
    x = 32.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.