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Finding the Fourth Proportional to 71,198.96, 106,798.44 and 26,835.67

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Solution

The fourth proportional to 71,198.96, 106,798.44 and 26,835.67 is: 40,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,198.96 : 106,798.44 = 26,835.67 : x
  2. Step 2: Convert to fraction form
    71,198.96/106,798.44 = 26,835.67/x
  3. Step 3: Cross multiply
    71,198.96x = 106,798.44 × 26,835.67
  4. Step 4: Simplify right side
    71,198.96x = 2,866,007,692.35
  5. Step 5: Solve for x
    x = 2,866,007,692.35/71,198.96
  6. Step 6: Final answer
    x = 40,253.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.