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Finding the Fourth Proportional to 40,201.83, 55,478.16 and 22,296.87

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Solution

The fourth proportional to 40,201.83, 55,478.16 and 22,296.87 is: 30,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,201.83 : 55,478.16 = 22,296.87 : x
  2. Step 2: Convert to fraction form
    40,201.83/55,478.16 = 22,296.87/x
  3. Step 3: Cross multiply
    40,201.83x = 55,478.16 × 22,296.87
  4. Step 4: Simplify right side
    40,201.83x = 1,236,989,321.36
  5. Step 5: Solve for x
    x = 1,236,989,321.36/40,201.83
  6. Step 6: Final answer
    x = 30,769.48

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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.