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Finding the Fourth Proportional to 47,697.50, 65,816.87 and 27,550.37

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Solution

The fourth proportional to 47,697.50, 65,816.87 and 27,550.37 is: 38,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.50 : 65,816.87 = 27,550.37 : x
  2. Step 2: Convert to fraction form
    47,697.50/65,816.87 = 27,550.37/x
  3. Step 3: Cross multiply
    47,697.50x = 65,816.87 × 27,550.37
  4. Step 4: Simplify right side
    47,697.50x = 1,813,278,653.91
  5. Step 5: Solve for x
    x = 1,813,278,653.91/47,697.50
  6. Step 6: Final answer
    x = 38,016.22

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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.