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Finding the Fourth Proportional to 75,405.94, 104,052.22 and 43,584.94

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Solution

The fourth proportional to 75,405.94, 104,052.22 and 43,584.94 is: 60,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405.94 : 104,052.22 = 43,584.94 : x
  2. Step 2: Convert to fraction form
    75,405.94/104,052.22 = 43,584.94/x
  3. Step 3: Cross multiply
    75,405.94x = 104,052.22 × 43,584.94
  4. Step 4: Simplify right side
    75,405.94x = 4,535,109,765.57
  5. Step 5: Solve for x
    x = 4,535,109,765.57/75,405.94
  6. Step 6: Final answer
    x = 60,142.61

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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.