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Finding the Fourth Proportional to 54,407.70, 81,576.18 and 22,838.09

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Solution

The fourth proportional to 54,407.70, 81,576.18 and 22,838.09 is: 34,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,407.70 : 81,576.18 = 22,838.09 : x
  2. Step 2: Convert to fraction form
    54,407.70/81,576.18 = 22,838.09/x
  3. Step 3: Cross multiply
    54,407.70x = 81,576.18 × 22,838.09
  4. Step 4: Simplify right side
    54,407.70x = 1,863,043,732.82
  5. Step 5: Solve for x
    x = 1,863,043,732.82/54,407.70
  6. Step 6: Final answer
    x = 34,242.28

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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.