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Finding the Fourth Proportional to 54,739.48, 75,540.48 and 29,589

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Solution

The fourth proportional to 54,739.48, 75,540.48 and 29,589 is: 40,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,739.48 : 75,540.48 = 29,589 : x
  2. Step 2: Convert to fraction form
    54,739.48/75,540.48 = 29,589/x
  3. Step 3: Cross multiply
    54,739.48x = 75,540.48 × 29,589
  4. Step 4: Simplify right side
    54,739.48x = 2,235,167,262.72
  5. Step 5: Solve for x
    x = 2,235,167,262.72/54,739.48
  6. Step 6: Final answer
    x = 40,832.82

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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.