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Finding the Fourth Proportional to 33,182.48, 49,778.40 and 12,404

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Solution

The fourth proportional to 33,182.48, 49,778.40 and 12,404 is: 18,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,182.48 : 49,778.40 = 12,404 : x
  2. Step 2: Convert to fraction form
    33,182.48/49,778.40 = 12,404/x
  3. Step 3: Cross multiply
    33,182.48x = 49,778.40 × 12,404
  4. Step 4: Simplify right side
    33,182.48x = 617,451,273.60
  5. Step 5: Solve for x
    x = 617,451,273.60/33,182.48
  6. Step 6: Final answer
    x = 18,607.75

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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.