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Finding the Fourth Proportional to 57,967.89, 80,000.75 and 32,473.84

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Solution

The fourth proportional to 57,967.89, 80,000.75 and 32,473.84 is: 44,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,967.89 : 80,000.75 = 32,473.84 : x
  2. Step 2: Convert to fraction form
    57,967.89/80,000.75 = 32,473.84/x
  3. Step 3: Cross multiply
    57,967.89x = 80,000.75 × 32,473.84
  4. Step 4: Simplify right side
    57,967.89x = 2,597,931,555.38
  5. Step 5: Solve for x
    x = 2,597,931,555.38/57,967.89
  6. Step 6: Final answer
    x = 44,816.73

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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.