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Finding the Fourth Proportional to 75,433.71, 104,100.77 and 41,444.31

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Solution

The fourth proportional to 75,433.71, 104,100.77 and 41,444.31 is: 57,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.71 : 104,100.77 = 41,444.31 : x
  2. Step 2: Convert to fraction form
    75,433.71/104,100.77 = 41,444.31/x
  3. Step 3: Cross multiply
    75,433.71x = 104,100.77 × 41,444.31
  4. Step 4: Simplify right side
    75,433.71x = 4,314,384,375.90
  5. Step 5: Solve for x
    x = 4,314,384,375.90/75,433.71
  6. Step 6: Final answer
    x = 57,194.38

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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.