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Finding the Fourth Proportional to 27,082.20, 40,574.70 and 23,194.20

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Solution

The fourth proportional to 27,082.20, 40,574.70 and 23,194.20 is: 34,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.20 : 40,574.70 = 23,194.20 : x
  2. Step 2: Convert to fraction form
    27,082.20/40,574.70 = 23,194.20/x
  3. Step 3: Cross multiply
    27,082.20x = 40,574.70 × 23,194.20
  4. Step 4: Simplify right side
    27,082.20x = 941,097,706.74
  5. Step 5: Solve for x
    x = 941,097,706.74/27,082.20
  6. Step 6: Final answer
    x = 34,749.68

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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.