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Finding the Fourth Proportional to 30,880.62, 42,617.75 and 17,454.68

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Solution

The fourth proportional to 30,880.62, 42,617.75 and 17,454.68 is: 24,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,880.62 : 42,617.75 = 17,454.68 : x
  2. Step 2: Convert to fraction form
    30,880.62/42,617.75 = 17,454.68/x
  3. Step 3: Cross multiply
    30,880.62x = 42,617.75 × 17,454.68
  4. Step 4: Simplify right side
    30,880.62x = 743,879,188.57
  5. Step 5: Solve for x
    x = 743,879,188.57/30,880.62
  6. Step 6: Final answer
    x = 24,088.87

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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.