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Finding the Fourth Proportional to 49, 73.37 and 31.83

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Solution

The fourth proportional to 49, 73.37 and 31.83 is: 47.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 73.37 = 31.83 : x
  2. Step 2: Convert to fraction form
    49/73.37 = 31.83/x
  3. Step 3: Cross multiply
    49x = 73.37 × 31.83
  4. Step 4: Simplify right side
    49x = 2,335.37
  5. Step 5: Solve for x
    x = 2,335.37/49
  6. Step 6: Final answer
    x = 47.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.