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Finding the Fourth Proportional to 71,364.94, 107,021.56 and 23,965.85

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Solution

The fourth proportional to 71,364.94, 107,021.56 and 23,965.85 is: 35,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364.94 : 107,021.56 = 23,965.85 : x
  2. Step 2: Convert to fraction form
    71,364.94/107,021.56 = 23,965.85/x
  3. Step 3: Cross multiply
    71,364.94x = 107,021.56 × 23,965.85
  4. Step 4: Simplify right side
    71,364.94x = 2,564,862,653.73
  5. Step 5: Solve for x
    x = 2,564,862,653.73/71,364.94
  6. Step 6: Final answer
    x = 35,940.09

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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.