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Finding the Fourth Proportional to 54,086.88, 74,654.64 and 31,738.08

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Solution

The fourth proportional to 54,086.88, 74,654.64 and 31,738.08 is: 43,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,086.88 : 74,654.64 = 31,738.08 : x
  2. Step 2: Convert to fraction form
    54,086.88/74,654.64 = 31,738.08/x
  3. Step 3: Cross multiply
    54,086.88x = 74,654.64 × 31,738.08
  4. Step 4: Simplify right side
    54,086.88x = 2,369,394,936.69
  5. Step 5: Solve for x
    x = 2,369,394,936.69/54,086.88
  6. Step 6: Final answer
    x = 43,807.20

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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.