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Finding the Fourth Proportional to 54,438.19, 81,662.43 and 21,160.82

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Solution

The fourth proportional to 54,438.19, 81,662.43 and 21,160.82 is: 31,743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,438.19 : 81,662.43 = 21,160.82 : x
  2. Step 2: Convert to fraction form
    54,438.19/81,662.43 = 21,160.82/x
  3. Step 3: Cross multiply
    54,438.19x = 81,662.43 × 21,160.82
  4. Step 4: Simplify right side
    54,438.19x = 1,728,044,265.50
  5. Step 5: Solve for x
    x = 1,728,044,265.50/54,438.19
  6. Step 6: Final answer
    x = 31,743.24

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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.