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Finding the Fourth Proportional to 40,563.56, 55,977.10 and 22,658.82

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Solution

The fourth proportional to 40,563.56, 55,977.10 and 22,658.82 is: 31,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,563.56 : 55,977.10 = 22,658.82 : x
  2. Step 2: Convert to fraction form
    40,563.56/55,977.10 = 22,658.82/x
  3. Step 3: Cross multiply
    40,563.56x = 55,977.10 × 22,658.82
  4. Step 4: Simplify right side
    40,563.56x = 1,268,375,033.02
  5. Step 5: Solve for x
    x = 1,268,375,033.02/40,563.56
  6. Step 6: Final answer
    x = 31,268.83

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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.