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Finding the Fourth Proportional to 30,538.37, 45,754.97 and 23,872.28

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Solution

The fourth proportional to 30,538.37, 45,754.97 and 23,872.28 is: 35,767.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,538.37 : 45,754.97 = 23,872.28 : x
  2. Step 2: Convert to fraction form
    30,538.37/45,754.97 = 23,872.28/x
  3. Step 3: Cross multiply
    30,538.37x = 45,754.97 × 23,872.28
  4. Step 4: Simplify right side
    30,538.37x = 1,092,275,107.10
  5. Step 5: Solve for x
    x = 1,092,275,107.10/30,538.37
  6. Step 6: Final answer
    x = 35,767.30

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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.