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Finding the Fourth Proportional to 48,190.25, 66,509.54 and 27,768.34

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Solution

The fourth proportional to 48,190.25, 66,509.54 and 27,768.34 is: 38,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,190.25 : 66,509.54 = 27,768.34 : x
  2. Step 2: Convert to fraction form
    48,190.25/66,509.54 = 27,768.34/x
  3. Step 3: Cross multiply
    48,190.25x = 66,509.54 × 27,768.34
  4. Step 4: Simplify right side
    48,190.25x = 1,846,859,519.96
  5. Step 5: Solve for x
    x = 1,846,859,519.96/48,190.25
  6. Step 6: Final answer
    x = 38,324.34

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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.