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Finding the Fourth Proportional to 75,529.56, 104,243.84 and 43,716

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Solution

The fourth proportional to 75,529.56, 104,243.84 and 43,716 is: 60,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,529.56 : 104,243.84 = 43,716 : x
  2. Step 2: Convert to fraction form
    75,529.56/104,243.84 = 43,716/x
  3. Step 3: Cross multiply
    75,529.56x = 104,243.84 × 43,716
  4. Step 4: Simplify right side
    75,529.56x = 4,557,123,709.44
  5. Step 5: Solve for x
    x = 4,557,123,709.44/75,529.56
  6. Step 6: Final answer
    x = 60,335.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.