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Finding the Fourth Proportional to 33,751.98, 46,578.06 and 18,645

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Solution

The fourth proportional to 33,751.98, 46,578.06 and 18,645 is: 25,730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,751.98 : 46,578.06 = 18,645 : x
  2. Step 2: Convert to fraction form
    33,751.98/46,578.06 = 18,645/x
  3. Step 3: Cross multiply
    33,751.98x = 46,578.06 × 18,645
  4. Step 4: Simplify right side
    33,751.98x = 868,447,928.70
  5. Step 5: Solve for x
    x = 868,447,928.70/33,751.98
  6. Step 6: Final answer
    x = 25,730.28

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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.