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Finding the Fourth Proportional to 36.15, 49.96 and 35.83

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Solution

The fourth proportional to 36.15, 49.96 and 35.83 is: 49.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.15 : 49.96 = 35.83 : x
  2. Step 2: Convert to fraction form
    36.15/49.96 = 35.83/x
  3. Step 3: Cross multiply
    36.15x = 49.96 × 35.83
  4. Step 4: Simplify right side
    36.15x = 1,790.07
  5. Step 5: Solve for x
    x = 1,790.07/36.15
  6. Step 6: Final answer
    x = 49.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.