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Finding the Fourth Proportional to 30,107.94, 41,550.14 and 16,678.94

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Solution

The fourth proportional to 30,107.94, 41,550.14 and 16,678.94 is: 23,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.94 : 41,550.14 = 16,678.94 : x
  2. Step 2: Convert to fraction form
    30,107.94/41,550.14 = 16,678.94/x
  3. Step 3: Cross multiply
    30,107.94x = 41,550.14 × 16,678.94
  4. Step 4: Simplify right side
    30,107.94x = 693,012,292.05
  5. Step 5: Solve for x
    x = 693,012,292.05/30,107.94
  6. Step 6: Final answer
    x = 23,017.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.