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Finding the Fourth Proportional to 33,685.48, 46,486.32 and 18,578.80

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Solution

The fourth proportional to 33,685.48, 46,486.32 and 18,578.80 is: 25,638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,685.48 : 46,486.32 = 18,578.80 : x
  2. Step 2: Convert to fraction form
    33,685.48/46,486.32 = 18,578.80/x
  3. Step 3: Cross multiply
    33,685.48x = 46,486.32 × 18,578.80
  4. Step 4: Simplify right side
    33,685.48x = 863,660,042.02
  5. Step 5: Solve for x
    x = 863,660,042.02/33,685.48
  6. Step 6: Final answer
    x = 25,638.94

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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.