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Finding the Fourth Proportional to 46,616.98, 69,986.45 and 27,676.19

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Solution

The fourth proportional to 46,616.98, 69,986.45 and 27,676.19 is: 41,550.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,616.98 : 69,986.45 = 27,676.19 : x
  2. Step 2: Convert to fraction form
    46,616.98/69,986.45 = 27,676.19/x
  3. Step 3: Cross multiply
    46,616.98x = 69,986.45 × 27,676.19
  4. Step 4: Simplify right side
    46,616.98x = 1,936,958,287.63
  5. Step 5: Solve for x
    x = 1,936,958,287.63/46,616.98
  6. Step 6: Final answer
    x = 41,550.49

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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.