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Finding the Fourth Proportional to 34,656.38, 47,826.30 and 21,222.73

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Solution

The fourth proportional to 34,656.38, 47,826.30 and 21,222.73 is: 29,287.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,656.38 : 47,826.30 = 21,222.73 : x
  2. Step 2: Convert to fraction form
    34,656.38/47,826.30 = 21,222.73/x
  3. Step 3: Cross multiply
    34,656.38x = 47,826.30 × 21,222.73
  4. Step 4: Simplify right side
    34,656.38x = 1,015,004,651.80
  5. Step 5: Solve for x
    x = 1,015,004,651.80/34,656.38
  6. Step 6: Final answer
    x = 29,287.67

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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.