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Finding the Fourth Proportional to 120,805.97, 181,194.88 and 32,066.37

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Solution

The fourth proportional to 120,805.97, 181,194.88 and 32,066.37 is: 48,095.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.97 : 181,194.88 = 32,066.37 : x
  2. Step 2: Convert to fraction form
    120,805.97/181,194.88 = 32,066.37/x
  3. Step 3: Cross multiply
    120,805.97x = 181,194.88 × 32,066.37
  4. Step 4: Simplify right side
    120,805.97x = 5,810,261,903.85
  5. Step 5: Solve for x
    x = 5,810,261,903.85/120,805.97
  6. Step 6: Final answer
    x = 48,095.82

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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.