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Finding the Fourth Proportional to 109,401.70, 164,082.30 and 30,499.60

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Solution

The fourth proportional to 109,401.70, 164,082.30 and 30,499.60 is: 45,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,401.70 : 164,082.30 = 30,499.60 : x
  2. Step 2: Convert to fraction form
    109,401.70/164,082.30 = 30,499.60/x
  3. Step 3: Cross multiply
    109,401.70x = 164,082.30 × 30,499.60
  4. Step 4: Simplify right side
    109,401.70x = 5,004,444,517.08
  5. Step 5: Solve for x
    x = 5,004,444,517.08/109,401.70
  6. Step 6: Final answer
    x = 45,743.75

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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.