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Finding the Fourth Proportional to 79,729, 119,593.50 and 32,983

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Solution

The fourth proportional to 79,729, 119,593.50 and 32,983 is: 49,474.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,729 : 119,593.50 = 32,983 : x
  2. Step 2: Convert to fraction form
    79,729/119,593.50 = 32,983/x
  3. Step 3: Cross multiply
    79,729x = 119,593.50 × 32,983
  4. Step 4: Simplify right side
    79,729x = 3,944,552,410.50
  5. Step 5: Solve for x
    x = 3,944,552,410.50/79,729
  6. Step 6: Final answer
    x = 49,474.50

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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.