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Finding the Fourth Proportional to 106,493.56, 146,960.70 and 58,749.88

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Solution

The fourth proportional to 106,493.56, 146,960.70 and 58,749.88 is: 81,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,493.56 : 146,960.70 = 58,749.88 : x
  2. Step 2: Convert to fraction form
    106,493.56/146,960.70 = 58,749.88/x
  3. Step 3: Cross multiply
    106,493.56x = 146,960.70 × 58,749.88
  4. Step 4: Simplify right side
    106,493.56x = 8,633,923,489.72
  5. Step 5: Solve for x
    x = 8,633,923,489.72/106,493.56
  6. Step 6: Final answer
    x = 81,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.