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Finding the Fourth Proportional to 75,494.94, 104,185.49 and 41,504.86

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Solution

The fourth proportional to 75,494.94, 104,185.49 and 41,504.86 is: 57,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,494.94 : 104,185.49 = 41,504.86 : x
  2. Step 2: Convert to fraction form
    75,494.94/104,185.49 = 41,504.86/x
  3. Step 3: Cross multiply
    75,494.94x = 104,185.49 × 41,504.86
  4. Step 4: Simplify right side
    75,494.94x = 4,324,203,746.61
  5. Step 5: Solve for x
    x = 4,324,203,746.61/75,494.94
  6. Step 6: Final answer
    x = 57,278.06

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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.