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Finding the Fourth Proportional to 47,751.85, 65,905.67 and 27,620.97

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Solution

The fourth proportional to 47,751.85, 65,905.67 and 27,620.97 is: 38,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.85 : 65,905.67 = 27,620.97 : x
  2. Step 2: Convert to fraction form
    47,751.85/65,905.67 = 27,620.97/x
  3. Step 3: Cross multiply
    47,751.85x = 65,905.67 × 27,620.97
  4. Step 4: Simplify right side
    47,751.85x = 1,820,378,533.90
  5. Step 5: Solve for x
    x = 1,820,378,533.90/47,751.85
  6. Step 6: Final answer
    x = 38,121.63

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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.