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Finding the Fourth Proportional to 34,414.90, 51,616.52 and 9,449.14

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Solution

The fourth proportional to 34,414.90, 51,616.52 and 9,449.14 is: 14,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.90 : 51,616.52 = 9,449.14 : x
  2. Step 2: Convert to fraction form
    34,414.90/51,616.52 = 9,449.14/x
  3. Step 3: Cross multiply
    34,414.90x = 51,616.52 × 9,449.14
  4. Step 4: Simplify right side
    34,414.90x = 487,731,723.79
  5. Step 5: Solve for x
    x = 487,731,723.79/34,414.90
  6. Step 6: Final answer
    x = 14,172.11

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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.