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Finding the Fourth Proportional to 47,697.87, 65,817.38 and 27,550.74

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Solution

The fourth proportional to 47,697.87, 65,817.38 and 27,550.74 is: 38,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,697.87 : 65,817.38 = 27,550.74 : x
  2. Step 2: Convert to fraction form
    47,697.87/65,817.38 = 27,550.74/x
  3. Step 3: Cross multiply
    47,697.87x = 65,817.38 × 27,550.74
  4. Step 4: Simplify right side
    47,697.87x = 1,813,317,592.74
  5. Step 5: Solve for x
    x = 1,813,317,592.74/47,697.87
  6. Step 6: Final answer
    x = 38,016.74

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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.