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Finding the Fourth Proportional to 54,419.96, 81,661.46 and 22,827.22

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Solution

The fourth proportional to 54,419.96, 81,661.46 and 22,827.22 is: 34,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419.96 : 81,661.46 = 22,827.22 : x
  2. Step 2: Convert to fraction form
    54,419.96/81,661.46 = 22,827.22/x
  3. Step 3: Cross multiply
    54,419.96x = 81,661.46 × 22,827.22
  4. Step 4: Simplify right side
    54,419.96x = 1,864,103,794.65
  5. Step 5: Solve for x
    x = 1,864,103,794.65/54,419.96
  6. Step 6: Final answer
    x = 34,254.04

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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.