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Finding the Fourth Proportional to 30,880.70, 42,617.21 and 17,451.63

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Solution

The fourth proportional to 30,880.70, 42,617.21 and 17,451.63 is: 24,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.70 : 42,617.21 = 17,451.63 : x
  2. Step 2: Convert to fraction form
    30,880.70/42,617.21 = 17,451.63/x
  3. Step 3: Cross multiply
    30,880.70x = 42,617.21 × 17,451.63
  4. Step 4: Simplify right side
    30,880.70x = 743,739,693.29
  5. Step 5: Solve for x
    x = 743,739,693.29/30,880.70
  6. Step 6: Final answer
    x = 24,084.29

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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.