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Finding the Fourth Proportional to 34,189.94, 47,181.96 and 19,082.42

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Solution

The fourth proportional to 34,189.94, 47,181.96 and 19,082.42 is: 26,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.94 : 47,181.96 = 19,082.42 : x
  2. Step 2: Convert to fraction form
    34,189.94/47,181.96 = 19,082.42/x
  3. Step 3: Cross multiply
    34,189.94x = 47,181.96 × 19,082.42
  4. Step 4: Simplify right side
    34,189.94x = 900,345,977.14
  5. Step 5: Solve for x
    x = 900,345,977.14/34,189.94
  6. Step 6: Final answer
    x = 26,333.65

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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.