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Finding the Fourth Proportional to 36,775.96, 55,164.06 and 10,122.31

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Solution

The fourth proportional to 36,775.96, 55,164.06 and 10,122.31 is: 15,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,775.96 : 55,164.06 = 10,122.31 : x
  2. Step 2: Convert to fraction form
    36,775.96/55,164.06 = 10,122.31/x
  3. Step 3: Cross multiply
    36,775.96x = 55,164.06 × 10,122.31
  4. Step 4: Simplify right side
    36,775.96x = 558,387,716.18
  5. Step 5: Solve for x
    x = 558,387,716.18/36,775.96
  6. Step 6: Final answer
    x = 15,183.50

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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.