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Finding the Fourth Proportional to 69,697.64, 104,550.46 and 19,773.84

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Solution

The fourth proportional to 69,697.64, 104,550.46 and 19,773.84 is: 29,661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,697.64 : 104,550.46 = 19,773.84 : x
  2. Step 2: Convert to fraction form
    69,697.64/104,550.46 = 19,773.84/x
  3. Step 3: Cross multiply
    69,697.64x = 104,550.46 × 19,773.84
  4. Step 4: Simplify right side
    69,697.64x = 2,067,364,067.97
  5. Step 5: Solve for x
    x = 2,067,364,067.97/69,697.64
  6. Step 6: Final answer
    x = 29,661.89

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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.