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Finding the Fourth Proportional to 55,593.81, 83,412.09 and 33,422.49

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Solution

The fourth proportional to 55,593.81, 83,412.09 and 33,422.49 is: 50,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,593.81 : 83,412.09 = 33,422.49 : x
  2. Step 2: Convert to fraction form
    55,593.81/83,412.09 = 33,422.49/x
  3. Step 3: Cross multiply
    55,593.81x = 83,412.09 × 33,422.49
  4. Step 4: Simplify right side
    55,593.81x = 2,787,839,743.90
  5. Step 5: Solve for x
    x = 2,787,839,743.90/55,593.81
  6. Step 6: Final answer
    x = 50,146.59

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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.