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Finding the Fourth Proportional to 30,765.45, 46,147.52 and 8,578.24

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Solution

The fourth proportional to 30,765.45, 46,147.52 and 8,578.24 is: 12,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765.45 : 46,147.52 = 8,578.24 : x
  2. Step 2: Convert to fraction form
    30,765.45/46,147.52 = 8,578.24/x
  3. Step 3: Cross multiply
    30,765.45x = 46,147.52 × 8,578.24
  4. Step 4: Simplify right side
    30,765.45x = 395,864,408.04
  5. Step 5: Solve for x
    x = 395,864,408.04/30,765.45
  6. Step 6: Final answer
    x = 12,867.17

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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.