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Finding the Fourth Proportional to 32,768.44, 45,224.20 and 18,234.06

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Solution

The fourth proportional to 32,768.44, 45,224.20 and 18,234.06 is: 25,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,768.44 : 45,224.20 = 18,234.06 : x
  2. Step 2: Convert to fraction form
    32,768.44/45,224.20 = 18,234.06/x
  3. Step 3: Cross multiply
    32,768.44x = 45,224.20 × 18,234.06
  4. Step 4: Simplify right side
    32,768.44x = 824,620,776.25
  5. Step 5: Solve for x
    x = 824,620,776.25/32,768.44
  6. Step 6: Final answer
    x = 25,165.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.