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Finding the Fourth Proportional to 69,322.58, 104,022.75 and 27,772.82

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Solution

The fourth proportional to 69,322.58, 104,022.75 and 27,772.82 is: 41,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322.58 : 104,022.75 = 27,772.82 : x
  2. Step 2: Convert to fraction form
    69,322.58/104,022.75 = 27,772.82/x
  3. Step 3: Cross multiply
    69,322.58x = 104,022.75 × 27,772.82
  4. Step 4: Simplify right side
    69,322.58x = 2,889,005,111.66
  5. Step 5: Solve for x
    x = 2,889,005,111.66/69,322.58
  6. Step 6: Final answer
    x = 41,674.81

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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.