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Finding the Fourth Proportional to 33,686, 46,486.05 and 18,580.07

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Solution

The fourth proportional to 33,686, 46,486.05 and 18,580.07 is: 25,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,686 : 46,486.05 = 18,580.07 : x
  2. Step 2: Convert to fraction form
    33,686/46,486.05 = 18,580.07/x
  3. Step 3: Cross multiply
    33,686x = 46,486.05 × 18,580.07
  4. Step 4: Simplify right side
    33,686x = 863,714,063.02
  5. Step 5: Solve for x
    x = 863,714,063.02/33,686
  6. Step 6: Final answer
    x = 25,640.15

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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.