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Finding the Fourth Proportional to 120,741, 181,121.49 and 37,635

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Solution

The fourth proportional to 120,741, 181,121.49 and 37,635 is: 56,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,741 : 181,121.49 = 37,635 : x
  2. Step 2: Convert to fraction form
    120,741/181,121.49 = 37,635/x
  3. Step 3: Cross multiply
    120,741x = 181,121.49 × 37,635
  4. Step 4: Simplify right side
    120,741x = 6,816,507,276.15
  5. Step 5: Solve for x
    x = 6,816,507,276.15/120,741
  6. Step 6: Final answer
    x = 56,455.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.