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Finding the Fourth Proportional to 32.97, 49.11 and 31.83

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Solution

The fourth proportional to 32.97, 49.11 and 31.83 is: 47.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.97 : 49.11 = 31.83 : x
  2. Step 2: Convert to fraction form
    32.97/49.11 = 31.83/x
  3. Step 3: Cross multiply
    32.97x = 49.11 × 31.83
  4. Step 4: Simplify right side
    32.97x = 1,563.17
  5. Step 5: Solve for x
    x = 1,563.17/32.97
  6. Step 6: Final answer
    x = 47.41

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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.