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Finding the Fourth Proportional to 39.32, 58.71 and 33.24

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Solution

The fourth proportional to 39.32, 58.71 and 33.24 is: 49.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.32 : 58.71 = 33.24 : x
  2. Step 2: Convert to fraction form
    39.32/58.71 = 33.24/x
  3. Step 3: Cross multiply
    39.32x = 58.71 × 33.24
  4. Step 4: Simplify right side
    39.32x = 1,951.52
  5. Step 5: Solve for x
    x = 1,951.52/39.32
  6. Step 6: Final answer
    x = 49.64

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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.