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Finding the Fourth Proportional to 100,383.78, 138,533.56 and 55,063.38

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Solution

The fourth proportional to 100,383.78, 138,533.56 and 55,063.38 is: 75,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,383.78 : 138,533.56 = 55,063.38 : x
  2. Step 2: Convert to fraction form
    100,383.78/138,533.56 = 55,063.38/x
  3. Step 3: Cross multiply
    100,383.78x = 138,533.56 × 55,063.38
  4. Step 4: Simplify right side
    100,383.78x = 7,628,126,057.03
  5. Step 5: Solve for x
    x = 7,628,126,057.03/100,383.78
  6. Step 6: Final answer
    x = 75,989.63

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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.