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Finding the Fourth Proportional to 30,843.57, 46,255.79 and 11,119.57

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Solution

The fourth proportional to 30,843.57, 46,255.79 and 11,119.57 is: 16,675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.57 : 46,255.79 = 11,119.57 : x
  2. Step 2: Convert to fraction form
    30,843.57/46,255.79 = 11,119.57/x
  3. Step 3: Cross multiply
    30,843.57x = 46,255.79 × 11,119.57
  4. Step 4: Simplify right side
    30,843.57x = 514,344,439.21
  5. Step 5: Solve for x
    x = 514,344,439.21/30,843.57
  6. Step 6: Final answer
    x = 16,675.91

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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.