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Finding the Fourth Proportional to 33,584.50, 46,346.88 and 18,680.50

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Solution

The fourth proportional to 33,584.50, 46,346.88 and 18,680.50 is: 25,779.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584.50 : 46,346.88 = 18,680.50 : x
  2. Step 2: Convert to fraction form
    33,584.50/46,346.88 = 18,680.50/x
  3. Step 3: Cross multiply
    33,584.50x = 46,346.88 × 18,680.50
  4. Step 4: Simplify right side
    33,584.50x = 865,782,891.84
  5. Step 5: Solve for x
    x = 865,782,891.84/33,584.50
  6. Step 6: Final answer
    x = 25,779.24

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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.