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Finding the Fourth Proportional to 80,593.56, 120,858.75 and 47,322

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Solution

The fourth proportional to 80,593.56, 120,858.75 and 47,322 is: 70,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,593.56 : 120,858.75 = 47,322 : x
  2. Step 2: Convert to fraction form
    80,593.56/120,858.75 = 47,322/x
  3. Step 3: Cross multiply
    80,593.56x = 120,858.75 × 47,322
  4. Step 4: Simplify right side
    80,593.56x = 5,719,277,767.50
  5. Step 5: Solve for x
    x = 5,719,277,767.50/80,593.56
  6. Step 6: Final answer
    x = 70,964.45

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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.