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Finding the Fourth Proportional to 75,433.82, 104,100.51 and 41,444.51

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Solution

The fourth proportional to 75,433.82, 104,100.51 and 41,444.51 is: 57,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,433.82 : 104,100.51 = 41,444.51 : x
  2. Step 2: Convert to fraction form
    75,433.82/104,100.51 = 41,444.51/x
  3. Step 3: Cross multiply
    75,433.82x = 104,100.51 × 41,444.51
  4. Step 4: Simplify right side
    75,433.82x = 4,314,394,205.71
  5. Step 5: Solve for x
    x = 4,314,394,205.71/75,433.82
  6. Step 6: Final answer
    x = 57,194.43

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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.