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Finding the Fourth Proportional to 54,189.96, 81,272.18 and 30,507.80

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Solution

The fourth proportional to 54,189.96, 81,272.18 and 30,507.80 is: 45,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,189.96 : 81,272.18 = 30,507.80 : x
  2. Step 2: Convert to fraction form
    54,189.96/81,272.18 = 30,507.80/x
  3. Step 3: Cross multiply
    54,189.96x = 81,272.18 × 30,507.80
  4. Step 4: Simplify right side
    54,189.96x = 2,479,434,854.10
  5. Step 5: Solve for x
    x = 2,479,434,854.10/54,189.96
  6. Step 6: Final answer
    x = 45,754.51

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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.