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Finding the Fourth Proportional to 33,896, 46,776.48 and 20,648

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Solution

The fourth proportional to 33,896, 46,776.48 and 20,648 is: 28,494.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,896 : 46,776.48 = 20,648 : x
  2. Step 2: Convert to fraction form
    33,896/46,776.48 = 20,648/x
  3. Step 3: Cross multiply
    33,896x = 46,776.48 × 20,648
  4. Step 4: Simplify right side
    33,896x = 965,840,759.04
  5. Step 5: Solve for x
    x = 965,840,759.04/33,896
  6. Step 6: Final answer
    x = 28,494.24

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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.