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Finding the Fourth Proportional to 30,919.31, 42,667.83 and 17,121.16

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Solution

The fourth proportional to 30,919.31, 42,667.83 and 17,121.16 is: 23,626.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,919.31 : 42,667.83 = 17,121.16 : x
  2. Step 2: Convert to fraction form
    30,919.31/42,667.83 = 17,121.16/x
  3. Step 3: Cross multiply
    30,919.31x = 42,667.83 × 17,121.16
  4. Step 4: Simplify right side
    30,919.31x = 730,522,797.62
  5. Step 5: Solve for x
    x = 730,522,797.62/30,919.31
  6. Step 6: Final answer
    x = 23,626.75

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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.