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Finding the Fourth Proportional to 54,955.97, 75,839.24 and 31,082.13

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Solution

The fourth proportional to 54,955.97, 75,839.24 and 31,082.13 is: 42,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,955.97 : 75,839.24 = 31,082.13 : x
  2. Step 2: Convert to fraction form
    54,955.97/75,839.24 = 31,082.13/x
  3. Step 3: Cross multiply
    54,955.97x = 75,839.24 × 31,082.13
  4. Step 4: Simplify right side
    54,955.97x = 2,357,245,019.65
  5. Step 5: Solve for x
    x = 2,357,245,019.65/54,955.97
  6. Step 6: Final answer
    x = 42,893.34

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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.