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Finding the Fourth Proportional to 55,698.32, 83,551.44 and 22,418.48

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Solution

The fourth proportional to 55,698.32, 83,551.44 and 22,418.48 is: 33,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,698.32 : 83,551.44 = 22,418.48 : x
  2. Step 2: Convert to fraction form
    55,698.32/83,551.44 = 22,418.48/x
  3. Step 3: Cross multiply
    55,698.32x = 83,551.44 × 22,418.48
  4. Step 4: Simplify right side
    55,698.32x = 1,873,096,286.61
  5. Step 5: Solve for x
    x = 1,873,096,286.61/55,698.32
  6. Step 6: Final answer
    x = 33,629.31

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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.