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Finding the Fourth Proportional to 71,174.56, 106,761.84 and 29,074.51

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Solution

The fourth proportional to 71,174.56, 106,761.84 and 29,074.51 is: 43,611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,174.56 : 106,761.84 = 29,074.51 : x
  2. Step 2: Convert to fraction form
    71,174.56/106,761.84 = 29,074.51/x
  3. Step 3: Cross multiply
    71,174.56x = 106,761.84 × 29,074.51
  4. Step 4: Simplify right side
    71,174.56x = 3,104,047,650.89
  5. Step 5: Solve for x
    x = 3,104,047,650.89/71,174.56
  6. Step 6: Final answer
    x = 43,611.76

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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.