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Finding the Fourth Proportional to 32.76, 48.82 and 31.92

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Solution

The fourth proportional to 32.76, 48.82 and 31.92 is: 47.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.76 : 48.82 = 31.92 : x
  2. Step 2: Convert to fraction form
    32.76/48.82 = 31.92/x
  3. Step 3: Cross multiply
    32.76x = 48.82 × 31.92
  4. Step 4: Simplify right side
    32.76x = 1,558.33
  5. Step 5: Solve for x
    x = 1,558.33/32.76
  6. Step 6: Final answer
    x = 47.57

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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.