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Finding the Fourth Proportional to 33,388.50, 50,082.75 and 13,407.12

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Solution

The fourth proportional to 33,388.50, 50,082.75 and 13,407.12 is: 20,110.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,388.50 : 50,082.75 = 13,407.12 : x
  2. Step 2: Convert to fraction form
    33,388.50/50,082.75 = 13,407.12/x
  3. Step 3: Cross multiply
    33,388.50x = 50,082.75 × 13,407.12
  4. Step 4: Simplify right side
    33,388.50x = 671,465,121.73
  5. Step 5: Solve for x
    x = 671,465,121.73/33,388.50
  6. Step 6: Final answer
    x = 20,110.67

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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.