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Finding the Fourth Proportional to 35.50, 49 and 23.86

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Solution

The fourth proportional to 35.50, 49 and 23.86 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 49 = 23.86 : x
  2. Step 2: Convert to fraction form
    35.50/49 = 23.86/x
  3. Step 3: Cross multiply
    35.50x = 49 × 23.86
  4. Step 4: Simplify right side
    35.50x = 1,169.14
  5. Step 5: Solve for x
    x = 1,169.14/35.50
  6. Step 6: Final answer
    x = 32.93

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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.