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Finding the Fourth Proportional to 33,380, 46,051.68 and 22,054.88

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Solution

The fourth proportional to 33,380, 46,051.68 and 22,054.88 is: 30,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380 : 46,051.68 = 22,054.88 : x
  2. Step 2: Convert to fraction form
    33,380/46,051.68 = 22,054.88/x
  3. Step 3: Cross multiply
    33,380x = 46,051.68 × 22,054.88
  4. Step 4: Simplify right side
    33,380x = 1,015,664,276.20
  5. Step 5: Solve for x
    x = 1,015,664,276.20/33,380
  6. Step 6: Final answer
    x = 30,427.33

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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.