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Finding the Fourth Proportional to 47.65, 71.54 and 47.43

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Solution

The fourth proportional to 47.65, 71.54 and 47.43 is: 71.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.65 : 71.54 = 47.43 : x
  2. Step 2: Convert to fraction form
    47.65/71.54 = 47.43/x
  3. Step 3: Cross multiply
    47.65x = 71.54 × 47.43
  4. Step 4: Simplify right side
    47.65x = 3,392.97
  5. Step 5: Solve for x
    x = 3,392.97/47.65
  6. Step 6: Final answer
    x = 71.21

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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.