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Finding the Fourth Proportional to 71,682.28, 107,564.90 and 29,554.51

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Solution

The fourth proportional to 71,682.28, 107,564.90 and 29,554.51 is: 44,348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.28 : 107,564.90 = 29,554.51 : x
  2. Step 2: Convert to fraction form
    71,682.28/107,564.90 = 29,554.51/x
  3. Step 3: Cross multiply
    71,682.28x = 107,564.90 × 29,554.51
  4. Step 4: Simplify right side
    71,682.28x = 3,179,027,912.70
  5. Step 5: Solve for x
    x = 3,179,027,912.70/71,682.28
  6. Step 6: Final answer
    x = 44,348.87

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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.