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Finding the Fourth Proportional to 33,561.84, 50,344.29 and 23,745

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Solution

The fourth proportional to 33,561.84, 50,344.29 and 23,745 is: 35,618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561.84 : 50,344.29 = 23,745 : x
  2. Step 2: Convert to fraction form
    33,561.84/50,344.29 = 23,745/x
  3. Step 3: Cross multiply
    33,561.84x = 50,344.29 × 23,745
  4. Step 4: Simplify right side
    33,561.84x = 1,195,425,166.05
  5. Step 5: Solve for x
    x = 1,195,425,166.05/33,561.84
  6. Step 6: Final answer
    x = 35,618.58

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1.5x scale

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.