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Finding the Fourth Proportional to 30,211, 41,692.36 and 16,783.28

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Solution

The fourth proportional to 30,211, 41,692.36 and 16,783.28 is: 23,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211 : 41,692.36 = 16,783.28 : x
  2. Step 2: Convert to fraction form
    30,211/41,692.36 = 16,783.28/x
  3. Step 3: Cross multiply
    30,211x = 41,692.36 × 16,783.28
  4. Step 4: Simplify right side
    30,211x = 699,734,551.74
  5. Step 5: Solve for x
    x = 699,734,551.74/30,211
  6. Step 6: Final answer
    x = 23,161.58

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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.