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Finding the Fourth Proportional to 41,784.32, 57,662.37 and 22,921.44

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Solution

The fourth proportional to 41,784.32, 57,662.37 and 22,921.44 is: 31,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,784.32 : 57,662.37 = 22,921.44 : x
  2. Step 2: Convert to fraction form
    41,784.32/57,662.37 = 22,921.44/x
  3. Step 3: Cross multiply
    41,784.32x = 57,662.37 × 22,921.44
  4. Step 4: Simplify right side
    41,784.32x = 1,321,704,439.61
  5. Step 5: Solve for x
    x = 1,321,704,439.61/41,784.32
  6. Step 6: Final answer
    x = 31,631.59

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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.