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Finding the Fourth Proportional to 30,880.86, 42,616.44 and 17,451.84

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Solution

The fourth proportional to 30,880.86, 42,616.44 and 17,451.84 is: 24,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.86 : 42,616.44 = 17,451.84 : x
  2. Step 2: Convert to fraction form
    30,880.86/42,616.44 = 17,451.84/x
  3. Step 3: Cross multiply
    30,880.86x = 42,616.44 × 17,451.84
  4. Step 4: Simplify right side
    30,880.86x = 743,735,292.25
  5. Step 5: Solve for x
    x = 743,735,292.25/30,880.86
  6. Step 6: Final answer
    x = 24,084.02

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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.