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Finding the Fourth Proportional to 75,667.82, 104,433.84 and 43,855.16

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Solution

The fourth proportional to 75,667.82, 104,433.84 and 43,855.16 is: 60,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,667.82 : 104,433.84 = 43,855.16 : x
  2. Step 2: Convert to fraction form
    75,667.82/104,433.84 = 43,855.16/x
  3. Step 3: Cross multiply
    75,667.82x = 104,433.84 × 43,855.16
  4. Step 4: Simplify right side
    75,667.82x = 4,579,962,240.45
  5. Step 5: Solve for x
    x = 4,579,962,240.45/75,667.82
  6. Step 6: Final answer
    x = 60,527.22

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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.