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Finding the Fourth Proportional to 47.86, 65.98 and 34.04

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Solution

The fourth proportional to 47.86, 65.98 and 34.04 is: 46.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.86 : 65.98 = 34.04 : x
  2. Step 2: Convert to fraction form
    47.86/65.98 = 34.04/x
  3. Step 3: Cross multiply
    47.86x = 65.98 × 34.04
  4. Step 4: Simplify right side
    47.86x = 2,245.98
  5. Step 5: Solve for x
    x = 2,245.98/47.86
  6. Step 6: Final answer
    x = 46.93

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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.