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Finding the Fourth Proportional to 37,094.70, 51,190.75 and 20,099.09

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Solution

The fourth proportional to 37,094.70, 51,190.75 and 20,099.09 is: 27,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094.70 : 51,190.75 = 20,099.09 : x
  2. Step 2: Convert to fraction form
    37,094.70/51,190.75 = 20,099.09/x
  3. Step 3: Cross multiply
    37,094.70x = 51,190.75 × 20,099.09
  4. Step 4: Simplify right side
    37,094.70x = 1,028,887,491.42
  5. Step 5: Solve for x
    x = 1,028,887,491.42/37,094.70
  6. Step 6: Final answer
    x = 27,736.78

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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.