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Finding the Fourth Proportional to 32,092.56, 44,289.77 and 17,945.46

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Solution

The fourth proportional to 32,092.56, 44,289.77 and 17,945.46 is: 24,765.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.56 : 44,289.77 = 17,945.46 : x
  2. Step 2: Convert to fraction form
    32,092.56/44,289.77 = 17,945.46/x
  3. Step 3: Cross multiply
    32,092.56x = 44,289.77 × 17,945.46
  4. Step 4: Simplify right side
    32,092.56x = 794,800,206.22
  5. Step 5: Solve for x
    x = 794,800,206.22/32,092.56
  6. Step 6: Final answer
    x = 24,765.87

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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.