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Finding the Fourth Proportional to 54,449.84, 75,140.49 and 30,578.60

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Solution

The fourth proportional to 54,449.84, 75,140.49 and 30,578.60 is: 42,198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,449.84 : 75,140.49 = 30,578.60 : x
  2. Step 2: Convert to fraction form
    54,449.84/75,140.49 = 30,578.60/x
  3. Step 3: Cross multiply
    54,449.84x = 75,140.49 × 30,578.60
  4. Step 4: Simplify right side
    54,449.84x = 2,297,690,987.51
  5. Step 5: Solve for x
    x = 2,297,690,987.51/54,449.84
  6. Step 6: Final answer
    x = 42,198.31

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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.