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Finding the Fourth Proportional to 47,704.25, 65,824.19 and 27,563.81

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Solution

The fourth proportional to 47,704.25, 65,824.19 and 27,563.81 is: 38,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,704.25 : 65,824.19 = 27,563.81 : x
  2. Step 2: Convert to fraction form
    47,704.25/65,824.19 = 27,563.81/x
  3. Step 3: Cross multiply
    47,704.25x = 65,824.19 × 27,563.81
  4. Step 4: Simplify right side
    47,704.25x = 1,814,365,258.03
  5. Step 5: Solve for x
    x = 1,814,365,258.03/47,704.25
  6. Step 6: Final answer
    x = 38,033.62

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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.