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Finding the Fourth Proportional to 44,797, 67,195.50 and 11,965

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Solution

The fourth proportional to 44,797, 67,195.50 and 11,965 is: 17,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,797 : 67,195.50 = 11,965 : x
  2. Step 2: Convert to fraction form
    44,797/67,195.50 = 11,965/x
  3. Step 3: Cross multiply
    44,797x = 67,195.50 × 11,965
  4. Step 4: Simplify right side
    44,797x = 803,994,157.50
  5. Step 5: Solve for x
    x = 803,994,157.50/44,797
  6. Step 6: Final answer
    x = 17,947.50

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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.