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Finding the Fourth Proportional to 30,850.46, 46,280.22 and 9,783.48

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Solution

The fourth proportional to 30,850.46, 46,280.22 and 9,783.48 is: 14,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,850.46 : 46,280.22 = 9,783.48 : x
  2. Step 2: Convert to fraction form
    30,850.46/46,280.22 = 9,783.48/x
  3. Step 3: Cross multiply
    30,850.46x = 46,280.22 × 9,783.48
  4. Step 4: Simplify right side
    30,850.46x = 452,781,396.53
  5. Step 5: Solve for x
    x = 452,781,396.53/30,850.46
  6. Step 6: Final answer
    x = 14,676.65

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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.