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Finding the Fourth Proportional to 71,197.96, 106,796.94 and 26,834.67

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Solution

The fourth proportional to 71,197.96, 106,796.94 and 26,834.67 is: 40,252.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,197.96 : 106,796.94 = 26,834.67 : x
  2. Step 2: Convert to fraction form
    71,197.96/106,796.94 = 26,834.67/x
  3. Step 3: Cross multiply
    71,197.96x = 106,796.94 × 26,834.67
  4. Step 4: Simplify right side
    71,197.96x = 2,865,860,641.91
  5. Step 5: Solve for x
    x = 2,865,860,641.91/71,197.96
  6. Step 6: Final answer
    x = 40,252.01

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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.