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Finding the Fourth Proportional to 54,796.50, 82,194.75 and 17,860.50

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Solution

The fourth proportional to 54,796.50, 82,194.75 and 17,860.50 is: 26,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,796.50 : 82,194.75 = 17,860.50 : x
  2. Step 2: Convert to fraction form
    54,796.50/82,194.75 = 17,860.50/x
  3. Step 3: Cross multiply
    54,796.50x = 82,194.75 × 17,860.50
  4. Step 4: Simplify right side
    54,796.50x = 1,468,039,332.38
  5. Step 5: Solve for x
    x = 1,468,039,332.38/54,796.50
  6. Step 6: Final answer
    x = 26,790.75

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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.