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Finding the Fourth Proportional to 29,749.25, 44,623.14 and 7,260.09

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Solution

The fourth proportional to 29,749.25, 44,623.14 and 7,260.09 is: 10,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,749.25 : 44,623.14 = 7,260.09 : x
  2. Step 2: Convert to fraction form
    29,749.25/44,623.14 = 7,260.09/x
  3. Step 3: Cross multiply
    29,749.25x = 44,623.14 × 7,260.09
  4. Step 4: Simplify right side
    29,749.25x = 323,967,817.92
  5. Step 5: Solve for x
    x = 323,967,817.92/29,749.25
  6. Step 6: Final answer
    x = 10,889.95

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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.