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Finding the Fourth Proportional to 37,684.32, 51,984.72 and 22,361.92

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Solution

The fourth proportional to 37,684.32, 51,984.72 and 22,361.92 is: 30,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.32 : 51,984.72 = 22,361.92 : x
  2. Step 2: Convert to fraction form
    37,684.32/51,984.72 = 22,361.92/x
  3. Step 3: Cross multiply
    37,684.32x = 51,984.72 × 22,361.92
  4. Step 4: Simplify right side
    37,684.32x = 1,162,478,149.86
  5. Step 5: Solve for x
    x = 1,162,478,149.86/37,684.32
  6. Step 6: Final answer
    x = 30,847.79

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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.