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Finding the Fourth Proportional to 37,198.16, 51,327.24 and 22,294.16

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Solution

The fourth proportional to 37,198.16, 51,327.24 and 22,294.16 is: 30,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.16 : 51,327.24 = 22,294.16 : x
  2. Step 2: Convert to fraction form
    37,198.16/51,327.24 = 22,294.16/x
  3. Step 3: Cross multiply
    37,198.16x = 51,327.24 × 22,294.16
  4. Step 4: Simplify right side
    37,198.16x = 1,144,297,700.92
  5. Step 5: Solve for x
    x = 1,144,297,700.92/37,198.16
  6. Step 6: Final answer
    x = 30,762.21

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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.