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Finding the Fourth Proportional to 33,027.72, 49,457 and 18,220.20

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Solution

The fourth proportional to 33,027.72, 49,457 and 18,220.20 is: 27,283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.72 : 49,457 = 18,220.20 : x
  2. Step 2: Convert to fraction form
    33,027.72/49,457 = 18,220.20/x
  3. Step 3: Cross multiply
    33,027.72x = 49,457 × 18,220.20
  4. Step 4: Simplify right side
    33,027.72x = 901,116,431.40
  5. Step 5: Solve for x
    x = 901,116,431.40/33,027.72
  6. Step 6: Final answer
    x = 27,283.64

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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.