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Finding the Fourth Proportional to 71,033.94, 106,571.97 and 23,655.15

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Solution

The fourth proportional to 71,033.94, 106,571.97 and 23,655.15 is: 35,489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,033.94 : 106,571.97 = 23,655.15 : x
  2. Step 2: Convert to fraction form
    71,033.94/106,571.97 = 23,655.15/x
  3. Step 3: Cross multiply
    71,033.94x = 106,571.97 × 23,655.15
  4. Step 4: Simplify right side
    71,033.94x = 2,520,975,936.15
  5. Step 5: Solve for x
    x = 2,520,975,936.15/71,033.94
  6. Step 6: Final answer
    x = 35,489.74

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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.