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Finding the Fourth Proportional to 30,880.57, 42,614.07 and 17,451.53

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Solution

The fourth proportional to 30,880.57, 42,614.07 and 17,451.53 is: 24,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.57 : 42,614.07 = 17,451.53 : x
  2. Step 2: Convert to fraction form
    30,880.57/42,614.07 = 17,451.53/x
  3. Step 3: Cross multiply
    30,880.57x = 42,614.07 × 17,451.53
  4. Step 4: Simplify right side
    30,880.57x = 743,680,507.96
  5. Step 5: Solve for x
    x = 743,680,507.96/30,880.57
  6. Step 6: Final answer
    x = 24,082.48

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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.