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Finding the Fourth Proportional to 47.34, 70.89 and 32.94

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Solution

The fourth proportional to 47.34, 70.89 and 32.94 is: 49.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.34 : 70.89 = 32.94 : x
  2. Step 2: Convert to fraction form
    47.34/70.89 = 32.94/x
  3. Step 3: Cross multiply
    47.34x = 70.89 × 32.94
  4. Step 4: Simplify right side
    47.34x = 2,335.12
  5. Step 5: Solve for x
    x = 2,335.12/47.34
  6. Step 6: Final answer
    x = 49.33

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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.