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Finding the Fourth Proportional to 86,786.86, 130,193.89 and 27,635.82

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Solution

The fourth proportional to 86,786.86, 130,193.89 and 27,635.82 is: 41,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786.86 : 130,193.89 = 27,635.82 : x
  2. Step 2: Convert to fraction form
    86,786.86/130,193.89 = 27,635.82/x
  3. Step 3: Cross multiply
    86,786.86x = 130,193.89 × 27,635.82
  4. Step 4: Simplify right side
    86,786.86x = 3,598,014,909.14
  5. Step 5: Solve for x
    x = 3,598,014,909.14/86,786.86
  6. Step 6: Final answer
    x = 41,458.06

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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.