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Finding the Fourth Proportional to 55,201.66, 82,803.85 and 20,141.31

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Solution

The fourth proportional to 55,201.66, 82,803.85 and 20,141.31 is: 30,212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,201.66 : 82,803.85 = 20,141.31 : x
  2. Step 2: Convert to fraction form
    55,201.66/82,803.85 = 20,141.31/x
  3. Step 3: Cross multiply
    55,201.66x = 82,803.85 × 20,141.31
  4. Step 4: Simplify right side
    55,201.66x = 1,667,778,012.04
  5. Step 5: Solve for x
    x = 1,667,778,012.04/55,201.66
  6. Step 6: Final answer
    x = 30,212.46

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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.