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Finding the Fourth Proportional to 47.92, 71.91 and 19.03

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Solution

The fourth proportional to 47.92, 71.91 and 19.03 is: 28.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.92 : 71.91 = 19.03 : x
  2. Step 2: Convert to fraction form
    47.92/71.91 = 19.03/x
  3. Step 3: Cross multiply
    47.92x = 71.91 × 19.03
  4. Step 4: Simplify right side
    47.92x = 1,368.02
  5. Step 5: Solve for x
    x = 1,368.02/47.92
  6. Step 6: Final answer
    x = 28.55

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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.