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Finding the Fourth Proportional to 46,770.82, 70,183.91 and 17,209.41

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Solution

The fourth proportional to 46,770.82, 70,183.91 and 17,209.41 is: 25,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,770.82 : 70,183.91 = 17,209.41 : x
  2. Step 2: Convert to fraction form
    46,770.82/70,183.91 = 17,209.41/x
  3. Step 3: Cross multiply
    46,770.82x = 70,183.91 × 17,209.41
  4. Step 4: Simplify right side
    46,770.82x = 1,207,823,736.21
  5. Step 5: Solve for x
    x = 1,207,823,736.21/46,770.82
  6. Step 6: Final answer
    x = 25,824.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.