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Finding the Fourth Proportional to 120,739.50, 181,119.24 and 37,633.50

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Solution

The fourth proportional to 120,739.50, 181,119.24 and 37,633.50 is: 56,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,739.50 : 181,119.24 = 37,633.50 : x
  2. Step 2: Convert to fraction form
    120,739.50/181,119.24 = 37,633.50/x
  3. Step 3: Cross multiply
    120,739.50x = 181,119.24 × 37,633.50
  4. Step 4: Simplify right side
    120,739.50x = 6,816,150,918.54
  5. Step 5: Solve for x
    x = 6,816,150,918.54/120,739.50
  6. Step 6: Final answer
    x = 56,453.36

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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.