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Finding the Fourth Proportional to 30,989.57, 42,766.64 and 17,378.19

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Solution

The fourth proportional to 30,989.57, 42,766.64 and 17,378.19 is: 23,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989.57 : 42,766.64 = 17,378.19 : x
  2. Step 2: Convert to fraction form
    30,989.57/42,766.64 = 17,378.19/x
  3. Step 3: Cross multiply
    30,989.57x = 42,766.64 × 17,378.19
  4. Step 4: Simplify right side
    30,989.57x = 743,206,839.03
  5. Step 5: Solve for x
    x = 743,206,839.03/30,989.57
  6. Step 6: Final answer
    x = 23,982.49

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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.