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Finding the Fourth Proportional to 33,674.20, 47,213 and 33,674.20

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Solution

The fourth proportional to 33,674.20, 47,213 and 33,674.20 is: 47,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,674.20 : 47,213 = 33,674.20 : x
  2. Step 2: Convert to fraction form
    33,674.20/47,213 = 33,674.20/x
  3. Step 3: Cross multiply
    33,674.20x = 47,213 × 33,674.20
  4. Step 4: Simplify right side
    33,674.20x = 1,589,860,004.60
  5. Step 5: Solve for x
    x = 1,589,860,004.60/33,674.20
  6. Step 6: Final answer
    x = 47,213

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.