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Finding the Fourth Proportional to 54,717.30, 82,015.20 and 21,426.30

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Solution

The fourth proportional to 54,717.30, 82,015.20 and 21,426.30 is: 32,115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,717.30 : 82,015.20 = 21,426.30 : x
  2. Step 2: Convert to fraction form
    54,717.30/82,015.20 = 21,426.30/x
  3. Step 3: Cross multiply
    54,717.30x = 82,015.20 × 21,426.30
  4. Step 4: Simplify right side
    54,717.30x = 1,757,282,279.76
  5. Step 5: Solve for x
    x = 1,757,282,279.76/54,717.30
  6. Step 6: Final answer
    x = 32,115.66

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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.