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Finding the Fourth Proportional to 86,063.82, 129,076.21 and 32,736.70

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Solution

The fourth proportional to 86,063.82, 129,076.21 and 32,736.70 is: 49,097.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,063.82 : 129,076.21 = 32,736.70 : x
  2. Step 2: Convert to fraction form
    86,063.82/129,076.21 = 32,736.70/x
  3. Step 3: Cross multiply
    86,063.82x = 129,076.21 × 32,736.70
  4. Step 4: Simplify right side
    86,063.82x = 4,225,529,163.91
  5. Step 5: Solve for x
    x = 4,225,529,163.91/86,063.82
  6. Step 6: Final answer
    x = 49,097.63

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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.