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Finding the Fourth Proportional to 29,237.20, 43,863 and 8,462.80

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Solution

The fourth proportional to 29,237.20, 43,863 and 8,462.80 is: 12,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,237.20 : 43,863 = 8,462.80 : x
  2. Step 2: Convert to fraction form
    29,237.20/43,863 = 8,462.80/x
  3. Step 3: Cross multiply
    29,237.20x = 43,863 × 8,462.80
  4. Step 4: Simplify right side
    29,237.20x = 371,203,796.40
  5. Step 5: Solve for x
    x = 371,203,796.40/29,237.20
  6. Step 6: Final answer
    x = 12,696.28

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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.