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Finding the Fourth Proportional to 30,212.84, 41,692.84 and 16,783.76

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Solution

The fourth proportional to 30,212.84, 41,692.84 and 16,783.76 is: 23,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.84 : 41,692.84 = 16,783.76 : x
  2. Step 2: Convert to fraction form
    30,212.84/41,692.84 = 16,783.76/x
  3. Step 3: Cross multiply
    30,212.84x = 41,692.84 × 16,783.76
  4. Step 4: Simplify right side
    30,212.84x = 699,762,620.28
  5. Step 5: Solve for x
    x = 699,762,620.28/30,212.84
  6. Step 6: Final answer
    x = 23,161.10

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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.