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Finding the Fourth Proportional to 120,994.92, 181,471.86 and 32,257.80

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Solution

The fourth proportional to 120,994.92, 181,471.86 and 32,257.80 is: 48,381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,994.92 : 181,471.86 = 32,257.80 : x
  2. Step 2: Convert to fraction form
    120,994.92/181,471.86 = 32,257.80/x
  3. Step 3: Cross multiply
    120,994.92x = 181,471.86 × 32,257.80
  4. Step 4: Simplify right side
    120,994.92x = 5,853,882,965.51
  5. Step 5: Solve for x
    x = 5,853,882,965.51/120,994.92
  6. Step 6: Final answer
    x = 48,381.23

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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.