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Finding the Fourth Proportional to 37,820.64, 52,188.96 and 21,906.12

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Solution

The fourth proportional to 37,820.64, 52,188.96 and 21,906.12 is: 30,228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,820.64 : 52,188.96 = 21,906.12 : x
  2. Step 2: Convert to fraction form
    37,820.64/52,188.96 = 21,906.12/x
  3. Step 3: Cross multiply
    37,820.64x = 52,188.96 × 21,906.12
  4. Step 4: Simplify right side
    37,820.64x = 1,143,257,620.44
  5. Step 5: Solve for x
    x = 1,143,257,620.44/37,820.64
  6. Step 6: Final answer
    x = 30,228.40

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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.