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Finding the Fourth Proportional to 53,805.56, 74,221.32 and 32,289.80

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Solution

The fourth proportional to 53,805.56, 74,221.32 and 32,289.80 is: 44,541.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,805.56 : 74,221.32 = 32,289.80 : x
  2. Step 2: Convert to fraction form
    53,805.56/74,221.32 = 32,289.80/x
  3. Step 3: Cross multiply
    53,805.56x = 74,221.32 × 32,289.80
  4. Step 4: Simplify right side
    53,805.56x = 2,396,591,578.54
  5. Step 5: Solve for x
    x = 2,396,591,578.54/53,805.56
  6. Step 6: Final answer
    x = 44,541.71

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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.