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Finding the Fourth Proportional to 29,758.14, 41,072.31 and 17,181.18

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Solution

The fourth proportional to 29,758.14, 41,072.31 and 17,181.18 is: 23,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758.14 : 41,072.31 = 17,181.18 : x
  2. Step 2: Convert to fraction form
    29,758.14/41,072.31 = 17,181.18/x
  3. Step 3: Cross multiply
    29,758.14x = 41,072.31 × 17,181.18
  4. Step 4: Simplify right side
    29,758.14x = 705,670,751.13
  5. Step 5: Solve for x
    x = 705,670,751.13/29,758.14
  6. Step 6: Final answer
    x = 23,713.54

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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.