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Finding the Fourth Proportional to 30,880.34, 42,617.03 and 17,452.83

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Solution

The fourth proportional to 30,880.34, 42,617.03 and 17,452.83 is: 24,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.34 : 42,617.03 = 17,452.83 : x
  2. Step 2: Convert to fraction form
    30,880.34/42,617.03 = 17,452.83/x
  3. Step 3: Cross multiply
    30,880.34x = 42,617.03 × 17,452.83
  4. Step 4: Simplify right side
    30,880.34x = 743,787,692.43
  5. Step 5: Solve for x
    x = 743,787,692.43/30,880.34
  6. Step 6: Final answer
    x = 24,086.13

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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.