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Finding the Fourth Proportional to 99,786.33, 149,755.64 and 36,666.27

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Solution

The fourth proportional to 99,786.33, 149,755.64 and 36,666.27 is: 55,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,786.33 : 149,755.64 = 36,666.27 : x
  2. Step 2: Convert to fraction form
    99,786.33/149,755.64 = 36,666.27/x
  3. Step 3: Cross multiply
    99,786.33x = 149,755.64 × 36,666.27
  4. Step 4: Simplify right side
    99,786.33x = 5,490,980,546.93
  5. Step 5: Solve for x
    x = 5,490,980,546.93/99,786.33
  6. Step 6: Final answer
    x = 55,027.38

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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.