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Finding the Fourth Proportional to 33,876.68, 46,772.62 and 21,149.24

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Solution

The fourth proportional to 33,876.68, 46,772.62 and 21,149.24 is: 29,200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876.68 : 46,772.62 = 21,149.24 : x
  2. Step 2: Convert to fraction form
    33,876.68/46,772.62 = 21,149.24/x
  3. Step 3: Cross multiply
    33,876.68x = 46,772.62 × 21,149.24
  4. Step 4: Simplify right side
    33,876.68x = 989,205,365.81
  5. Step 5: Solve for x
    x = 989,205,365.81/33,876.68
  6. Step 6: Final answer
    x = 29,200.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.