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Finding the Fourth Proportional to 39,427.62, 54,414.89 and 22,436

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Solution

The fourth proportional to 39,427.62, 54,414.89 and 22,436 is: 30,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,427.62 : 54,414.89 = 22,436 : x
  2. Step 2: Convert to fraction form
    39,427.62/54,414.89 = 22,436/x
  3. Step 3: Cross multiply
    39,427.62x = 54,414.89 × 22,436
  4. Step 4: Simplify right side
    39,427.62x = 1,220,852,472.04
  5. Step 5: Solve for x
    x = 1,220,852,472.04/39,427.62
  6. Step 6: Final answer
    x = 30,964.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.