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Finding the Fourth Proportional to 54,965.22, 75,839.37 and 31,086.72

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Solution

The fourth proportional to 54,965.22, 75,839.37 and 31,086.72 is: 42,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,965.22 : 75,839.37 = 31,086.72 : x
  2. Step 2: Convert to fraction form
    54,965.22/75,839.37 = 31,086.72/x
  3. Step 3: Cross multiply
    54,965.22x = 75,839.37 × 31,086.72
  4. Step 4: Simplify right side
    54,965.22x = 2,357,597,260.17
  5. Step 5: Solve for x
    x = 2,357,597,260.17/54,965.22
  6. Step 6: Final answer
    x = 42,892.53

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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.