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Finding the Fourth Proportional to 71,243.64, 106,825.94 and 29,153.26

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Solution

The fourth proportional to 71,243.64, 106,825.94 and 29,153.26 is: 43,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,243.64 : 106,825.94 = 29,153.26 : x
  2. Step 2: Convert to fraction form
    71,243.64/106,825.94 = 29,153.26/x
  3. Step 3: Cross multiply
    71,243.64x = 106,825.94 × 29,153.26
  4. Step 4: Simplify right side
    71,243.64x = 3,114,324,403.56
  5. Step 5: Solve for x
    x = 3,114,324,403.56/71,243.64
  6. Step 6: Final answer
    x = 43,713.72

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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.