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Finding the Fourth Proportional to 71,237.72, 106,866.30 and 29,675

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Solution

The fourth proportional to 71,237.72, 106,866.30 and 29,675 is: 44,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,237.72 : 106,866.30 = 29,675 : x
  2. Step 2: Convert to fraction form
    71,237.72/106,866.30 = 29,675/x
  3. Step 3: Cross multiply
    71,237.72x = 106,866.30 × 29,675
  4. Step 4: Simplify right side
    71,237.72x = 3,171,257,452.50
  5. Step 5: Solve for x
    x = 3,171,257,452.50/71,237.72
  6. Step 6: Final answer
    x = 44,516.55

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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.