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Finding the Fourth Proportional to 20,082.44, 30,123.86 and 5,293.48

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Solution

The fourth proportional to 20,082.44, 30,123.86 and 5,293.48 is: 7,940.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,082.44 : 30,123.86 = 5,293.48 : x
  2. Step 2: Convert to fraction form
    20,082.44/30,123.86 = 5,293.48/x
  3. Step 3: Cross multiply
    20,082.44x = 30,123.86 × 5,293.48
  4. Step 4: Simplify right side
    20,082.44x = 159,460,050.43
  5. Step 5: Solve for x
    x = 159,460,050.43/20,082.44
  6. Step 6: Final answer
    x = 7,940.27

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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.