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Finding the Fourth Proportional to 33,606.08, 46,378.68 and 22,256

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Solution

The fourth proportional to 33,606.08, 46,378.68 and 22,256 is: 30,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,606.08 : 46,378.68 = 22,256 : x
  2. Step 2: Convert to fraction form
    33,606.08/46,378.68 = 22,256/x
  3. Step 3: Cross multiply
    33,606.08x = 46,378.68 × 22,256
  4. Step 4: Simplify right side
    33,606.08x = 1,032,203,902.08
  5. Step 5: Solve for x
    x = 1,032,203,902.08/33,606.08
  6. Step 6: Final answer
    x = 30,714.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.