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Finding the Fourth Proportional to 51,811, 77,741.10 and 22,237.30

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Solution

The fourth proportional to 51,811, 77,741.10 and 22,237.30 is: 33,366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811 : 77,741.10 = 22,237.30 : x
  2. Step 2: Convert to fraction form
    51,811/77,741.10 = 22,237.30/x
  3. Step 3: Cross multiply
    51,811x = 77,741.10 × 22,237.30
  4. Step 4: Simplify right side
    51,811x = 1,728,752,163.03
  5. Step 5: Solve for x
    x = 1,728,752,163.03/51,811
  6. Step 6: Final answer
    x = 33,366.51

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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.