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Finding the Fourth Proportional to 51,185.44, 76,784.64 and 20,016.64

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Solution

The fourth proportional to 51,185.44, 76,784.64 and 20,016.64 is: 30,027.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,185.44 : 76,784.64 = 20,016.64 : x
  2. Step 2: Convert to fraction form
    51,185.44/76,784.64 = 20,016.64/x
  3. Step 3: Cross multiply
    51,185.44x = 76,784.64 × 20,016.64
  4. Step 4: Simplify right side
    51,185.44x = 1,536,970,496.41
  5. Step 5: Solve for x
    x = 1,536,970,496.41/51,185.44
  6. Step 6: Final answer
    x = 30,027.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.