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Finding the Fourth Proportional to 30,794.96, 46,192.44 and 12,314

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Solution

The fourth proportional to 30,794.96, 46,192.44 and 12,314 is: 18,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794.96 : 46,192.44 = 12,314 : x
  2. Step 2: Convert to fraction form
    30,794.96/46,192.44 = 12,314/x
  3. Step 3: Cross multiply
    30,794.96x = 46,192.44 × 12,314
  4. Step 4: Simplify right side
    30,794.96x = 568,813,706.16
  5. Step 5: Solve for x
    x = 568,813,706.16/30,794.96
  6. Step 6: Final answer
    x = 18,471.00

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Why These Related Problems?

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