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Finding the Fourth Proportional to 66,796.29, 100,201.01 and 19,411.80

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Solution

The fourth proportional to 66,796.29, 100,201.01 and 19,411.80 is: 29,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,796.29 : 100,201.01 = 19,411.80 : x
  2. Step 2: Convert to fraction form
    66,796.29/100,201.01 = 19,411.80/x
  3. Step 3: Cross multiply
    66,796.29x = 100,201.01 × 19,411.80
  4. Step 4: Simplify right side
    66,796.29x = 1,945,081,965.92
  5. Step 5: Solve for x
    x = 1,945,081,965.92/66,796.29
  6. Step 6: Final answer
    x = 29,119.61

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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.