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Finding the Fourth Proportional to 34,189.32, 47,166.84 and 20,755.38

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Solution

The fourth proportional to 34,189.32, 47,166.84 and 20,755.38 is: 28,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.32 : 47,166.84 = 20,755.38 : x
  2. Step 2: Convert to fraction form
    34,189.32/47,166.84 = 20,755.38/x
  3. Step 3: Cross multiply
    34,189.32x = 47,166.84 × 20,755.38
  4. Step 4: Simplify right side
    34,189.32x = 978,965,687.60
  5. Step 5: Solve for x
    x = 978,965,687.60/34,189.32
  6. Step 6: Final answer
    x = 28,633.67

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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.