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Finding the Fourth Proportional to 83,791.56, 125,708.94 and 24,629.16

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Solution

The fourth proportional to 83,791.56, 125,708.94 and 24,629.16 is: 36,950.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,791.56 : 125,708.94 = 24,629.16 : x
  2. Step 2: Convert to fraction form
    83,791.56/125,708.94 = 24,629.16/x
  3. Step 3: Cross multiply
    83,791.56x = 125,708.94 × 24,629.16
  4. Step 4: Simplify right side
    83,791.56x = 3,096,105,596.69
  5. Step 5: Solve for x
    x = 3,096,105,596.69/83,791.56
  6. Step 6: Final answer
    x = 36,950.09

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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.