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Finding the Fourth Proportional to 54,107.34, 81,153.34 and 18,568.09

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Solution

The fourth proportional to 54,107.34, 81,153.34 and 18,568.09 is: 27,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,107.34 : 81,153.34 = 18,568.09 : x
  2. Step 2: Convert to fraction form
    54,107.34/81,153.34 = 18,568.09/x
  3. Step 3: Cross multiply
    54,107.34x = 81,153.34 × 18,568.09
  4. Step 4: Simplify right side
    54,107.34x = 1,506,862,223.90
  5. Step 5: Solve for x
    x = 1,506,862,223.90/54,107.34
  6. Step 6: Final answer
    x = 27,849.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.