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Finding the Fourth Proportional to 34.63, 47.81 and 32.14

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Solution

The fourth proportional to 34.63, 47.81 and 32.14 is: 44.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.63 : 47.81 = 32.14 : x
  2. Step 2: Convert to fraction form
    34.63/47.81 = 32.14/x
  3. Step 3: Cross multiply
    34.63x = 47.81 × 32.14
  4. Step 4: Simplify right side
    34.63x = 1,536.61
  5. Step 5: Solve for x
    x = 1,536.61/34.63
  6. Step 6: Final answer
    x = 44.37

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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.