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Finding the Fourth Proportional to 75,771.72, 113,707.80 and 29,022.84

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Solution

The fourth proportional to 75,771.72, 113,707.80 and 29,022.84 is: 43,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,771.72 : 113,707.80 = 29,022.84 : x
  2. Step 2: Convert to fraction form
    75,771.72/113,707.80 = 29,022.84/x
  3. Step 3: Cross multiply
    75,771.72x = 113,707.80 × 29,022.84
  4. Step 4: Simplify right side
    75,771.72x = 3,300,123,286.15
  5. Step 5: Solve for x
    x = 3,300,123,286.15/75,771.72
  6. Step 6: Final answer
    x = 43,553.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.