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Finding the Fourth Proportional to 86,241.75, 129,310.75 and 32,937.27

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Solution

The fourth proportional to 86,241.75, 129,310.75 and 32,937.27 is: 49,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,241.75 : 129,310.75 = 32,937.27 : x
  2. Step 2: Convert to fraction form
    86,241.75/129,310.75 = 32,937.27/x
  3. Step 3: Cross multiply
    86,241.75x = 129,310.75 × 32,937.27
  4. Step 4: Simplify right side
    86,241.75x = 4,259,143,086.65
  5. Step 5: Solve for x
    x = 4,259,143,086.65/86,241.75
  6. Step 6: Final answer
    x = 49,386.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.