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Finding the Fourth Proportional to 78,183.80, 117,283.00 and 22,023.82

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Solution

The fourth proportional to 78,183.80, 117,283.00 and 22,023.82 is: 33,037.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.80 : 117,283.00 = 22,023.82 : x
  2. Step 2: Convert to fraction form
    78,183.80/117,283.00 = 22,023.82/x
  3. Step 3: Cross multiply
    78,183.80x = 117,283.00 × 22,023.82
  4. Step 4: Simplify right side
    78,183.80x = 2,583,019,122.17
  5. Step 5: Solve for x
    x = 2,583,019,122.17/78,183.80
  6. Step 6: Final answer
    x = 33,037.78

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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.