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Finding the Fourth Proportional to 49,005, 73,540.24 and 17,840.28

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Solution

The fourth proportional to 49,005, 73,540.24 and 17,840.28 is: 26,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,005 : 73,540.24 = 17,840.28 : x
  2. Step 2: Convert to fraction form
    49,005/73,540.24 = 17,840.28/x
  3. Step 3: Cross multiply
    49,005x = 73,540.24 × 17,840.28
  4. Step 4: Simplify right side
    49,005x = 1,311,978,472.87
  5. Step 5: Solve for x
    x = 1,311,978,472.87/49,005
  6. Step 6: Final answer
    x = 26,772.34

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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.