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Finding the Fourth Proportional to 51,212.82, 76,791.48 and 23,100

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Solution

The fourth proportional to 51,212.82, 76,791.48 and 23,100 is: 34,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,212.82 : 76,791.48 = 23,100 : x
  2. Step 2: Convert to fraction form
    51,212.82/76,791.48 = 23,100/x
  3. Step 3: Cross multiply
    51,212.82x = 76,791.48 × 23,100
  4. Step 4: Simplify right side
    51,212.82x = 1,773,883,188
  5. Step 5: Solve for x
    x = 1,773,883,188/51,212.82
  6. Step 6: Final answer
    x = 34,637.48

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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.