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Finding the Fourth Proportional to 33,724.84, 46,540 and 19,579

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Solution

The fourth proportional to 33,724.84, 46,540 and 19,579 is: 27,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724.84 : 46,540 = 19,579 : x
  2. Step 2: Convert to fraction form
    33,724.84/46,540 = 19,579/x
  3. Step 3: Cross multiply
    33,724.84x = 46,540 × 19,579
  4. Step 4: Simplify right side
    33,724.84x = 911,206,660
  5. Step 5: Solve for x
    x = 911,206,660/33,724.84
  6. Step 6: Final answer
    x = 27,018.86

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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.