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Finding the Fourth Proportional to 47.39, 65.42 and 33.62

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Solution

The fourth proportional to 47.39, 65.42 and 33.62 is: 46.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.39 : 65.42 = 33.62 : x
  2. Step 2: Convert to fraction form
    47.39/65.42 = 33.62/x
  3. Step 3: Cross multiply
    47.39x = 65.42 × 33.62
  4. Step 4: Simplify right side
    47.39x = 2,199.42
  5. Step 5: Solve for x
    x = 2,199.42/47.39
  6. Step 6: Final answer
    x = 46.41

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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.