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Finding the Fourth Proportional to 54,431.51, 75,120.44 and 31,781.48

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Solution

The fourth proportional to 54,431.51, 75,120.44 and 31,781.48 is: 43,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,431.51 : 75,120.44 = 31,781.48 : x
  2. Step 2: Convert to fraction form
    54,431.51/75,120.44 = 31,781.48/x
  3. Step 3: Cross multiply
    54,431.51x = 75,120.44 × 31,781.48
  4. Step 4: Simplify right side
    54,431.51x = 2,387,438,226.94
  5. Step 5: Solve for x
    x = 2,387,438,226.94/54,431.51
  6. Step 6: Final answer
    x = 43,861.33

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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.