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Finding the Fourth Proportional to 75,855.41, 104,672.55 and 41,863.28

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Solution

The fourth proportional to 75,855.41, 104,672.55 and 41,863.28 is: 57,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,855.41 : 104,672.55 = 41,863.28 : x
  2. Step 2: Convert to fraction form
    75,855.41/104,672.55 = 41,863.28/x
  3. Step 3: Cross multiply
    75,855.41x = 104,672.55 × 41,863.28
  4. Step 4: Simplify right side
    75,855.41x = 4,381,936,491.37
  5. Step 5: Solve for x
    x = 4,381,936,491.37/75,855.41
  6. Step 6: Final answer
    x = 57,766.96

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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.