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Finding the Fourth Proportional to 121,189.84, 181,793.87 and 32,441.38

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Solution

The fourth proportional to 121,189.84, 181,793.87 and 32,441.38 is: 48,664.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,189.84 : 181,793.87 = 32,441.38 : x
  2. Step 2: Convert to fraction form
    121,189.84/181,793.87 = 32,441.38/x
  3. Step 3: Cross multiply
    121,189.84x = 181,793.87 × 32,441.38
  4. Step 4: Simplify right side
    121,189.84x = 5,897,643,523.30
  5. Step 5: Solve for x
    x = 5,897,643,523.30/121,189.84
  6. Step 6: Final answer
    x = 48,664.51

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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.