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Finding the Fourth Proportional to 46,736.82, 64,494.38 and 25,512

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Solution

The fourth proportional to 46,736.82, 64,494.38 and 25,512 is: 35,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,736.82 : 64,494.38 = 25,512 : x
  2. Step 2: Convert to fraction form
    46,736.82/64,494.38 = 25,512/x
  3. Step 3: Cross multiply
    46,736.82x = 64,494.38 × 25,512
  4. Step 4: Simplify right side
    46,736.82x = 1,645,380,622.56
  5. Step 5: Solve for x
    x = 1,645,380,622.56/46,736.82
  6. Step 6: Final answer
    x = 35,205.23

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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.