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Finding the Fourth Proportional to 71,247.72, 106,813.98 and 29,725.80

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Solution

The fourth proportional to 71,247.72, 106,813.98 and 29,725.80 is: 44,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,247.72 : 106,813.98 = 29,725.80 : x
  2. Step 2: Convert to fraction form
    71,247.72/106,813.98 = 29,725.80/x
  3. Step 3: Cross multiply
    71,247.72x = 106,813.98 × 29,725.80
  4. Step 4: Simplify right side
    71,247.72x = 3,175,131,006.68
  5. Step 5: Solve for x
    x = 3,175,131,006.68/71,247.72
  6. Step 6: Final answer
    x = 44,564.67

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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.