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Finding the Fourth Proportional to 47.13, 71.07 and 41.19

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Solution

The fourth proportional to 47.13, 71.07 and 41.19 is: 62.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.13 : 71.07 = 41.19 : x
  2. Step 2: Convert to fraction form
    47.13/71.07 = 41.19/x
  3. Step 3: Cross multiply
    47.13x = 71.07 × 41.19
  4. Step 4: Simplify right side
    47.13x = 2,927.37
  5. Step 5: Solve for x
    x = 2,927.37/47.13
  6. Step 6: Final answer
    x = 62.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.