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Finding the Fourth Proportional to 54,709.52, 75,517.12 and 33,200.24

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Solution

The fourth proportional to 54,709.52, 75,517.12 and 33,200.24 is: 45,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,709.52 : 75,517.12 = 33,200.24 : x
  2. Step 2: Convert to fraction form
    54,709.52/75,517.12 = 33,200.24/x
  3. Step 3: Cross multiply
    54,709.52x = 75,517.12 × 33,200.24
  4. Step 4: Simplify right side
    54,709.52x = 2,507,186,508.11
  5. Step 5: Solve for x
    x = 2,507,186,508.11/54,709.52
  6. Step 6: Final answer
    x = 45,827.24

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