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Finding the Fourth Proportional to 47,982.49, 66,198 and 27,828.07

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Solution

The fourth proportional to 47,982.49, 66,198 and 27,828.07 is: 38,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982.49 : 66,198 = 27,828.07 : x
  2. Step 2: Convert to fraction form
    47,982.49/66,198 = 27,828.07/x
  3. Step 3: Cross multiply
    47,982.49x = 66,198 × 27,828.07
  4. Step 4: Simplify right side
    47,982.49x = 1,842,162,577.86
  5. Step 5: Solve for x
    x = 1,842,162,577.86/47,982.49
  6. Step 6: Final answer
    x = 38,392.39

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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.