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Finding the Fourth Proportional to 41,647, 57,471.76 and 24,652.12

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Solution

The fourth proportional to 41,647, 57,471.76 and 24,652.12 is: 34,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,647 : 57,471.76 = 24,652.12 : x
  2. Step 2: Convert to fraction form
    41,647/57,471.76 = 24,652.12/x
  3. Step 3: Cross multiply
    41,647x = 57,471.76 × 24,652.12
  4. Step 4: Simplify right side
    41,647x = 1,416,800,724.13
  5. Step 5: Solve for x
    x = 1,416,800,724.13/41,647
  6. Step 6: Final answer
    x = 34,019.27

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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.