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Finding the Fourth Proportional to 33,642.43, 46,424.33 and 20,214.25

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Solution

The fourth proportional to 33,642.43, 46,424.33 and 20,214.25 is: 27,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.43 : 46,424.33 = 20,214.25 : x
  2. Step 2: Convert to fraction form
    33,642.43/46,424.33 = 20,214.25/x
  3. Step 3: Cross multiply
    33,642.43x = 46,424.33 × 20,214.25
  4. Step 4: Simplify right side
    33,642.43x = 938,432,911.63
  5. Step 5: Solve for x
    x = 938,432,911.63/33,642.43
  6. Step 6: Final answer
    x = 27,894.33

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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.