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Finding the Fourth Proportional to 55,405.33, 76,464.89 and 33,049.33

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Solution

The fourth proportional to 55,405.33, 76,464.89 and 33,049.33 is: 45,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,405.33 : 76,464.89 = 33,049.33 : x
  2. Step 2: Convert to fraction form
    55,405.33/76,464.89 = 33,049.33/x
  3. Step 3: Cross multiply
    55,405.33x = 76,464.89 × 33,049.33
  4. Step 4: Simplify right side
    55,405.33x = 2,527,113,383.02
  5. Step 5: Solve for x
    x = 2,527,113,383.02/55,405.33
  6. Step 6: Final answer
    x = 45,611.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.