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Finding the Fourth Proportional to 34,151.38, 51,227.08 and 9,191.49

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Solution

The fourth proportional to 34,151.38, 51,227.08 and 9,191.49 is: 13,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,151.38 : 51,227.08 = 9,191.49 : x
  2. Step 2: Convert to fraction form
    34,151.38/51,227.08 = 9,191.49/x
  3. Step 3: Cross multiply
    34,151.38x = 51,227.08 × 9,191.49
  4. Step 4: Simplify right side
    34,151.38x = 470,853,193.55
  5. Step 5: Solve for x
    x = 470,853,193.55/34,151.38
  6. Step 6: Final answer
    x = 13,787.24

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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.