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Finding the Fourth Proportional to 54,684, 82,033.92 and 17,231.40

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Solution

The fourth proportional to 54,684, 82,033.92 and 17,231.40 is: 25,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 82,033.92 = 17,231.40 : x
  2. Step 2: Convert to fraction form
    54,684/82,033.92 = 17,231.40/x
  3. Step 3: Cross multiply
    54,684x = 82,033.92 × 17,231.40
  4. Step 4: Simplify right side
    54,684x = 1,413,559,289.09
  5. Step 5: Solve for x
    x = 1,413,559,289.09/54,684
  6. Step 6: Final answer
    x = 25,849.60

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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.