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Finding the Fourth Proportional to 75,601.46, 113,427.68 and 33,475.80

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Solution

The fourth proportional to 75,601.46, 113,427.68 and 33,475.80 is: 50,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,601.46 : 113,427.68 = 33,475.80 : x
  2. Step 2: Convert to fraction form
    75,601.46/113,427.68 = 33,475.80/x
  3. Step 3: Cross multiply
    75,601.46x = 113,427.68 × 33,475.80
  4. Step 4: Simplify right side
    75,601.46x = 3,797,082,330.14
  5. Step 5: Solve for x
    x = 3,797,082,330.14/75,601.46
  6. Step 6: Final answer
    x = 50,224.99

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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.