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Finding the Fourth Proportional to 71,157.51, 106,732.42 and 36,096.26

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Solution

The fourth proportional to 71,157.51, 106,732.42 and 36,096.26 is: 54,142.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,157.51 : 106,732.42 = 36,096.26 : x
  2. Step 2: Convert to fraction form
    71,157.51/106,732.42 = 36,096.26/x
  3. Step 3: Cross multiply
    71,157.51x = 106,732.42 × 36,096.26
  4. Step 4: Simplify right side
    71,157.51x = 3,852,640,558.85
  5. Step 5: Solve for x
    x = 3,852,640,558.85/71,157.51
  6. Step 6: Final answer
    x = 54,142.43

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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.