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Finding the Fourth Proportional to 27,638.82, 38,141.82 and 15,063.57

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Solution

The fourth proportional to 27,638.82, 38,141.82 and 15,063.57 is: 20,787.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.82 : 38,141.82 = 15,063.57 : x
  2. Step 2: Convert to fraction form
    27,638.82/38,141.82 = 15,063.57/x
  3. Step 3: Cross multiply
    27,638.82x = 38,141.82 × 15,063.57
  4. Step 4: Simplify right side
    27,638.82x = 574,551,975.50
  5. Step 5: Solve for x
    x = 574,551,975.50/27,638.82
  6. Step 6: Final answer
    x = 20,787.86

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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.