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Finding the Fourth Proportional to 53,412.99, 80,137.97 and 20,142.60

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Solution

The fourth proportional to 53,412.99, 80,137.97 and 20,142.60 is: 30,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,412.99 : 80,137.97 = 20,142.60 : x
  2. Step 2: Convert to fraction form
    53,412.99/80,137.97 = 20,142.60/x
  3. Step 3: Cross multiply
    53,412.99x = 80,137.97 × 20,142.60
  4. Step 4: Simplify right side
    53,412.99x = 1,614,187,074.52
  5. Step 5: Solve for x
    x = 1,614,187,074.52/53,412.99
  6. Step 6: Final answer
    x = 30,220.87

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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.