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Finding the Fourth Proportional to 47.26, 65.25 and 32.74

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Solution

The fourth proportional to 47.26, 65.25 and 32.74 is: 45.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.26 : 65.25 = 32.74 : x
  2. Step 2: Convert to fraction form
    47.26/65.25 = 32.74/x
  3. Step 3: Cross multiply
    47.26x = 65.25 × 32.74
  4. Step 4: Simplify right side
    47.26x = 2,136.29
  5. Step 5: Solve for x
    x = 2,136.29/47.26
  6. Step 6: Final answer
    x = 45.20

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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.