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Finding the Fourth Proportional to 34.59, 47.76 and 29.73

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Solution

The fourth proportional to 34.59, 47.76 and 29.73 is: 41.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.59 : 47.76 = 29.73 : x
  2. Step 2: Convert to fraction form
    34.59/47.76 = 29.73/x
  3. Step 3: Cross multiply
    34.59x = 47.76 × 29.73
  4. Step 4: Simplify right side
    34.59x = 1,419.90
  5. Step 5: Solve for x
    x = 1,419.90/34.59
  6. Step 6: Final answer
    x = 41.05

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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.