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Finding the Fourth Proportional to 41,309, 57,006 and 22,446.20

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Solution

The fourth proportional to 41,309, 57,006 and 22,446.20 is: 30,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,309 : 57,006 = 22,446.20 : x
  2. Step 2: Convert to fraction form
    41,309/57,006 = 22,446.20/x
  3. Step 3: Cross multiply
    41,309x = 57,006 × 22,446.20
  4. Step 4: Simplify right side
    41,309x = 1,279,568,077.20
  5. Step 5: Solve for x
    x = 1,279,568,077.20/41,309
  6. Step 6: Final answer
    x = 30,975.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.