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Finding the Fourth Proportional to 43,920.25, 65,892.83 and 17,643.44

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Solution

The fourth proportional to 43,920.25, 65,892.83 and 17,643.44 is: 26,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,920.25 : 65,892.83 = 17,643.44 : x
  2. Step 2: Convert to fraction form
    43,920.25/65,892.83 = 17,643.44/x
  3. Step 3: Cross multiply
    43,920.25x = 65,892.83 × 17,643.44
  4. Step 4: Simplify right side
    43,920.25x = 1,162,576,269.05
  5. Step 5: Solve for x
    x = 1,162,576,269.05/43,920.25
  6. Step 6: Final answer
    x = 26,470.17

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Why These Related Problems?

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