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Finding the Fourth Proportional to 27,451, 41,176.86 and 8,983

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Solution

The fourth proportional to 27,451, 41,176.86 and 8,983 is: 13,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,451 : 41,176.86 = 8,983 : x
  2. Step 2: Convert to fraction form
    27,451/41,176.86 = 8,983/x
  3. Step 3: Cross multiply
    27,451x = 41,176.86 × 8,983
  4. Step 4: Simplify right side
    27,451x = 369,891,733.38
  5. Step 5: Solve for x
    x = 369,891,733.38/27,451
  6. Step 6: Final answer
    x = 13,474.62

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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.