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Finding the Fourth Proportional to 34,219.49, 51,286.85 and 19,383.43

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Solution

The fourth proportional to 34,219.49, 51,286.85 and 19,383.43 is: 29,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,219.49 : 51,286.85 = 19,383.43 : x
  2. Step 2: Convert to fraction form
    34,219.49/51,286.85 = 19,383.43/x
  3. Step 3: Cross multiply
    34,219.49x = 51,286.85 × 19,383.43
  4. Step 4: Simplify right side
    34,219.49x = 994,114,969.98
  5. Step 5: Solve for x
    x = 994,114,969.98/34,219.49
  6. Step 6: Final answer
    x = 29,051.13

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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.