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Finding the Fourth Proportional to 33,027.40, 49,503.78 and 16,399.30

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Solution

The fourth proportional to 33,027.40, 49,503.78 and 16,399.30 is: 24,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.40 : 49,503.78 = 16,399.30 : x
  2. Step 2: Convert to fraction form
    33,027.40/49,503.78 = 16,399.30/x
  3. Step 3: Cross multiply
    33,027.40x = 49,503.78 × 16,399.30
  4. Step 4: Simplify right side
    33,027.40x = 811,827,339.35
  5. Step 5: Solve for x
    x = 811,827,339.35/33,027.40
  6. Step 6: Final answer
    x = 24,580.42

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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.