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Finding the Fourth Proportional to 83,584.84, 125,236.02 and 41,408.68

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Solution

The fourth proportional to 83,584.84, 125,236.02 and 41,408.68 is: 62,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,584.84 : 125,236.02 = 41,408.68 : x
  2. Step 2: Convert to fraction form
    83,584.84/125,236.02 = 41,408.68/x
  3. Step 3: Cross multiply
    83,584.84x = 125,236.02 × 41,408.68
  4. Step 4: Simplify right side
    83,584.84x = 5,185,858,276.65
  5. Step 5: Solve for x
    x = 5,185,858,276.65/83,584.84
  6. Step 6: Final answer
    x = 62,043.05

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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.