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Finding the Fourth Proportional to 49,235.52, 73,777.44 and 33,420

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Solution

The fourth proportional to 49,235.52, 73,777.44 and 33,420 is: 50,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,235.52 : 73,777.44 = 33,420 : x
  2. Step 2: Convert to fraction form
    49,235.52/73,777.44 = 33,420/x
  3. Step 3: Cross multiply
    49,235.52x = 73,777.44 × 33,420
  4. Step 4: Simplify right side
    49,235.52x = 2,465,642,044.80
  5. Step 5: Solve for x
    x = 2,465,642,044.80/49,235.52
  6. Step 6: Final answer
    x = 50,078.52

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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.