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Finding the Fourth Proportional to 101,958, 152,945.09 and 27,076.20

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Solution

The fourth proportional to 101,958, 152,945.09 and 27,076.20 is: 40,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,958 : 152,945.09 = 27,076.20 : x
  2. Step 2: Convert to fraction form
    101,958/152,945.09 = 27,076.20/x
  3. Step 3: Cross multiply
    101,958x = 152,945.09 × 27,076.20
  4. Step 4: Simplify right side
    101,958x = 4,141,171,845.86
  5. Step 5: Solve for x
    x = 4,141,171,845.86/101,958
  6. Step 6: Final answer
    x = 40,616.45

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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.