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Finding the Fourth Proportional to 46,589, 69,922.38 and 21,965

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Solution

The fourth proportional to 46,589, 69,922.38 and 21,965 is: 32,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,589 : 69,922.38 = 21,965 : x
  2. Step 2: Convert to fraction form
    46,589/69,922.38 = 21,965/x
  3. Step 3: Cross multiply
    46,589x = 69,922.38 × 21,965
  4. Step 4: Simplify right side
    46,589x = 1,535,845,076.70
  5. Step 5: Solve for x
    x = 1,535,845,076.70/46,589
  6. Step 6: Final answer
    x = 32,965.83

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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.