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Finding the Fourth Proportional to 120,055.91, 180,092.84 and 35,809.43

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Solution

The fourth proportional to 120,055.91, 180,092.84 and 35,809.43 is: 53,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,055.91 : 180,092.84 = 35,809.43 : x
  2. Step 2: Convert to fraction form
    120,055.91/180,092.84 = 35,809.43/x
  3. Step 3: Cross multiply
    120,055.91x = 180,092.84 × 35,809.43
  4. Step 4: Simplify right side
    120,055.91x = 6,449,020,867.97
  5. Step 5: Solve for x
    x = 6,449,020,867.97/120,055.91
  6. Step 6: Final answer
    x = 53,716.82

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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.