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Finding the Fourth Proportional to 54,137, 74,716.26 and 31,781

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Solution

The fourth proportional to 54,137, 74,716.26 and 31,781 is: 43,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,137 : 74,716.26 = 31,781 : x
  2. Step 2: Convert to fraction form
    54,137/74,716.26 = 31,781/x
  3. Step 3: Cross multiply
    54,137x = 74,716.26 × 31,781
  4. Step 4: Simplify right side
    54,137x = 2,374,557,459.06
  5. Step 5: Solve for x
    x = 2,374,557,459.06/54,137
  6. Step 6: Final answer
    x = 43,862.01

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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.