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Finding the Fourth Proportional to 47,824.54, 65,993.78 and 27,682.67

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Solution

The fourth proportional to 47,824.54, 65,993.78 and 27,682.67 is: 38,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,824.54 : 65,993.78 = 27,682.67 : x
  2. Step 2: Convert to fraction form
    47,824.54/65,993.78 = 27,682.67/x
  3. Step 3: Cross multiply
    47,824.54x = 65,993.78 × 27,682.67
  4. Step 4: Simplify right side
    47,824.54x = 1,826,884,033.79
  5. Step 5: Solve for x
    x = 1,826,884,033.79/47,824.54
  6. Step 6: Final answer
    x = 38,199.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.