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Finding the Fourth Proportional to 69,345.22, 104,022.15 and 27,786.82

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Solution

The fourth proportional to 69,345.22, 104,022.15 and 27,786.82 is: 41,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,345.22 : 104,022.15 = 27,786.82 : x
  2. Step 2: Convert to fraction form
    69,345.22/104,022.15 = 27,786.82/x
  3. Step 3: Cross multiply
    69,345.22x = 104,022.15 × 27,786.82
  4. Step 4: Simplify right side
    69,345.22x = 2,890,444,758.06
  5. Step 5: Solve for x
    x = 2,890,444,758.06/69,345.22
  6. Step 6: Final answer
    x = 41,681.96

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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.