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Finding the Fourth Proportional to 33.36, 49.78 and 31.83

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Solution

The fourth proportional to 33.36, 49.78 and 31.83 is: 47.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.36 : 49.78 = 31.83 : x
  2. Step 2: Convert to fraction form
    33.36/49.78 = 31.83/x
  3. Step 3: Cross multiply
    33.36x = 49.78 × 31.83
  4. Step 4: Simplify right side
    33.36x = 1,584.50
  5. Step 5: Solve for x
    x = 1,584.50/33.36
  6. Step 6: Final answer
    x = 47.50

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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.