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Finding the Fourth Proportional to 74,496.24, 111,745.80 and 27,739.80

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Solution

The fourth proportional to 74,496.24, 111,745.80 and 27,739.80 is: 41,610.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,496.24 : 111,745.80 = 27,739.80 : x
  2. Step 2: Convert to fraction form
    74,496.24/111,745.80 = 27,739.80/x
  3. Step 3: Cross multiply
    74,496.24x = 111,745.80 × 27,739.80
  4. Step 4: Simplify right side
    74,496.24x = 3,099,806,142.84
  5. Step 5: Solve for x
    x = 3,099,806,142.84/74,496.24
  6. Step 6: Final answer
    x = 41,610.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.