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Finding the Fourth Proportional to 33,074.89, 45,643.16 and 17,967.43

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Solution

The fourth proportional to 33,074.89, 45,643.16 and 17,967.43 is: 24,794.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.89 : 45,643.16 = 17,967.43 : x
  2. Step 2: Convert to fraction form
    33,074.89/45,643.16 = 17,967.43/x
  3. Step 3: Cross multiply
    33,074.89x = 45,643.16 × 17,967.43
  4. Step 4: Simplify right side
    33,074.89x = 820,090,127.51
  5. Step 5: Solve for x
    x = 820,090,127.51/33,074.89
  6. Step 6: Final answer
    x = 24,794.95

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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.