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Finding the Fourth Proportional to 46,201.92, 69,245.46 and 21,215.46

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Solution

The fourth proportional to 46,201.92, 69,245.46 and 21,215.46 is: 31,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,201.92 : 69,245.46 = 21,215.46 : x
  2. Step 2: Convert to fraction form
    46,201.92/69,245.46 = 21,215.46/x
  3. Step 3: Cross multiply
    46,201.92x = 69,245.46 × 21,215.46
  4. Step 4: Simplify right side
    46,201.92x = 1,469,074,286.81
  5. Step 5: Solve for x
    x = 1,469,074,286.81/46,201.92
  6. Step 6: Final answer
    x = 31,796.82

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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.