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Finding the Fourth Proportional to 52,325, 72,229.44 and 32,189.96

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Solution

The fourth proportional to 52,325, 72,229.44 and 32,189.96 is: 44,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,325 : 72,229.44 = 32,189.96 : x
  2. Step 2: Convert to fraction form
    52,325/72,229.44 = 32,189.96/x
  3. Step 3: Cross multiply
    52,325x = 72,229.44 × 32,189.96
  4. Step 4: Simplify right side
    52,325x = 2,325,062,784.42
  5. Step 5: Solve for x
    x = 2,325,062,784.42/52,325
  6. Step 6: Final answer
    x = 44,435.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.