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Finding the Fourth Proportional to 69,857.44, 104,796.01 and 22,456.64

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Solution

The fourth proportional to 69,857.44, 104,796.01 and 22,456.64 is: 33,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,857.44 : 104,796.01 = 22,456.64 : x
  2. Step 2: Convert to fraction form
    69,857.44/104,796.01 = 22,456.64/x
  3. Step 3: Cross multiply
    69,857.44x = 104,796.01 × 22,456.64
  4. Step 4: Simplify right side
    69,857.44x = 2,353,366,560.07
  5. Step 5: Solve for x
    x = 2,353,366,560.07/69,857.44
  6. Step 6: Final answer
    x = 33,688.13

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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.