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Finding the Fourth Proportional to 32,749.50, 45,194.31 and 17,845.50

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Solution

The fourth proportional to 32,749.50, 45,194.31 and 17,845.50 is: 24,626.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,749.50 : 45,194.31 = 17,845.50 : x
  2. Step 2: Convert to fraction form
    32,749.50/45,194.31 = 17,845.50/x
  3. Step 3: Cross multiply
    32,749.50x = 45,194.31 × 17,845.50
  4. Step 4: Simplify right side
    32,749.50x = 806,515,059.11
  5. Step 5: Solve for x
    x = 806,515,059.11/32,749.50
  6. Step 6: Final answer
    x = 24,626.79

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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.