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Finding the Fourth Proportional to 30,578.25, 45,873.96 and 9,517.85

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Solution

The fourth proportional to 30,578.25, 45,873.96 and 9,517.85 is: 14,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.25 : 45,873.96 = 9,517.85 : x
  2. Step 2: Convert to fraction form
    30,578.25/45,873.96 = 9,517.85/x
  3. Step 3: Cross multiply
    30,578.25x = 45,873.96 × 9,517.85
  4. Step 4: Simplify right side
    30,578.25x = 436,621,240.82
  5. Step 5: Solve for x
    x = 436,621,240.82/30,578.25
  6. Step 6: Final answer
    x = 14,278.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.