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Finding the Fourth Proportional to 81,776.99, 122,591.57 and 29,173.97

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Solution

The fourth proportional to 81,776.99, 122,591.57 and 29,173.97 is: 43,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,776.99 : 122,591.57 = 29,173.97 : x
  2. Step 2: Convert to fraction form
    81,776.99/122,591.57 = 29,173.97/x
  3. Step 3: Cross multiply
    81,776.99x = 122,591.57 × 29,173.97
  4. Step 4: Simplify right side
    81,776.99x = 3,576,482,026.61
  5. Step 5: Solve for x
    x = 3,576,482,026.61/81,776.99
  6. Step 6: Final answer
    x = 43,734.58

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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.