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Finding the Fourth Proportional to 27,732.62, 38,271 and 15,157.37

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Solution

The fourth proportional to 27,732.62, 38,271 and 15,157.37 is: 20,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.62 : 38,271 = 15,157.37 : x
  2. Step 2: Convert to fraction form
    27,732.62/38,271 = 15,157.37/x
  3. Step 3: Cross multiply
    27,732.62x = 38,271 × 15,157.37
  4. Step 4: Simplify right side
    27,732.62x = 580,087,515.92
  5. Step 5: Solve for x
    x = 580,087,515.92/27,732.62
  6. Step 6: Final answer
    x = 20,917.16

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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.