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Finding the Fourth Proportional to 33,982.90, 46,900.57 and 19,840.30

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Solution

The fourth proportional to 33,982.90, 46,900.57 and 19,840.30 is: 27,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,982.90 : 46,900.57 = 19,840.30 : x
  2. Step 2: Convert to fraction form
    33,982.90/46,900.57 = 19,840.30/x
  3. Step 3: Cross multiply
    33,982.90x = 46,900.57 × 19,840.30
  4. Step 4: Simplify right side
    33,982.90x = 930,521,378.97
  5. Step 5: Solve for x
    x = 930,521,378.97/33,982.90
  6. Step 6: Final answer
    x = 27,382.05

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Why These Related Problems?

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