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Finding the Fourth Proportional to 71,029.96, 106,562.29 and 23,644.96

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Solution

The fourth proportional to 71,029.96, 106,562.29 and 23,644.96 is: 35,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.96 : 106,562.29 = 23,644.96 : x
  2. Step 2: Convert to fraction form
    71,029.96/106,562.29 = 23,644.96/x
  3. Step 3: Cross multiply
    71,029.96x = 106,562.29 × 23,644.96
  4. Step 4: Simplify right side
    71,029.96x = 2,519,661,084.56
  5. Step 5: Solve for x
    x = 2,519,661,084.56/71,029.96
  6. Step 6: Final answer
    x = 35,473.22

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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.