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Finding the Fourth Proportional to 27,892.32, 41,839.28 and 8,170.89

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Solution

The fourth proportional to 27,892.32, 41,839.28 and 8,170.89 is: 12,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892.32 : 41,839.28 = 8,170.89 : x
  2. Step 2: Convert to fraction form
    27,892.32/41,839.28 = 8,170.89/x
  3. Step 3: Cross multiply
    27,892.32x = 41,839.28 × 8,170.89
  4. Step 4: Simplify right side
    27,892.32x = 341,864,113.70
  5. Step 5: Solve for x
    x = 341,864,113.70/27,892.32
  6. Step 6: Final answer
    x = 12,256.57

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1.5x scale

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.