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Finding the Fourth Proportional to 49,745.80, 74,561.10 and 20,144.20

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Solution

The fourth proportional to 49,745.80, 74,561.10 and 20,144.20 is: 30,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,745.80 : 74,561.10 = 20,144.20 : x
  2. Step 2: Convert to fraction form
    49,745.80/74,561.10 = 20,144.20/x
  3. Step 3: Cross multiply
    49,745.80x = 74,561.10 × 20,144.20
  4. Step 4: Simplify right side
    49,745.80x = 1,501,973,710.62
  5. Step 5: Solve for x
    x = 1,501,973,710.62/49,745.80
  6. Step 6: Final answer
    x = 30,192.98

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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.