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Finding the Fourth Proportional to 55,365, 76,404.78 and 33,009

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Solution

The fourth proportional to 55,365, 76,404.78 and 33,009 is: 45,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,365 : 76,404.78 = 33,009 : x
  2. Step 2: Convert to fraction form
    55,365/76,404.78 = 33,009/x
  3. Step 3: Cross multiply
    55,365x = 76,404.78 × 33,009
  4. Step 4: Simplify right side
    55,365x = 2,522,045,383.02
  5. Step 5: Solve for x
    x = 2,522,045,383.02/55,365
  6. Step 6: Final answer
    x = 45,553.06

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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.