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Finding the Fourth Proportional to 54,843.58, 82,298.14 and 50,382.10

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Solution

The fourth proportional to 54,843.58, 82,298.14 and 50,382.10 is: 75,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843.58 : 82,298.14 = 50,382.10 : x
  2. Step 2: Convert to fraction form
    54,843.58/82,298.14 = 50,382.10/x
  3. Step 3: Cross multiply
    54,843.58x = 82,298.14 × 50,382.10
  4. Step 4: Simplify right side
    54,843.58x = 4,146,353,119.29
  5. Step 5: Solve for x
    x = 4,146,353,119.29/54,843.58
  6. Step 6: Final answer
    x = 75,603.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.