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Finding the Fourth Proportional to 83,076.76, 124,584.34 and 29,760.43

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Solution

The fourth proportional to 83,076.76, 124,584.34 and 29,760.43 is: 44,629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,076.76 : 124,584.34 = 29,760.43 : x
  2. Step 2: Convert to fraction form
    83,076.76/124,584.34 = 29,760.43/x
  3. Step 3: Cross multiply
    83,076.76x = 124,584.34 × 29,760.43
  4. Step 4: Simplify right side
    83,076.76x = 3,707,683,529.67
  5. Step 5: Solve for x
    x = 3,707,683,529.67/83,076.76
  6. Step 6: Final answer
    x = 44,629.61

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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.