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Finding the Fourth Proportional to 37,099.65, 51,198.47 and 22,767.41

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Solution

The fourth proportional to 37,099.65, 51,198.47 and 22,767.41 is: 31,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,099.65 : 51,198.47 = 22,767.41 : x
  2. Step 2: Convert to fraction form
    37,099.65/51,198.47 = 22,767.41/x
  3. Step 3: Cross multiply
    37,099.65x = 51,198.47 × 22,767.41
  4. Step 4: Simplify right side
    37,099.65x = 1,165,656,188.03
  5. Step 5: Solve for x
    x = 1,165,656,188.03/37,099.65
  6. Step 6: Final answer
    x = 31,419.60

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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.