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Finding the Fourth Proportional to 54,504.84, 75,225.28 and 31,857.24

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Solution

The fourth proportional to 54,504.84, 75,225.28 and 31,857.24 is: 43,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,504.84 : 75,225.28 = 31,857.24 : x
  2. Step 2: Convert to fraction form
    54,504.84/75,225.28 = 31,857.24/x
  3. Step 3: Cross multiply
    54,504.84x = 75,225.28 × 31,857.24
  4. Step 4: Simplify right side
    54,504.84x = 2,396,469,799.03
  5. Step 5: Solve for x
    x = 2,396,469,799.03/54,504.84
  6. Step 6: Final answer
    x = 43,968.02

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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.