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Finding the Fourth Proportional to 27,416, 41,131.56 and 8,948

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Solution

The fourth proportional to 27,416, 41,131.56 and 8,948 is: 13,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416 : 41,131.56 = 8,948 : x
  2. Step 2: Convert to fraction form
    27,416/41,131.56 = 8,948/x
  3. Step 3: Cross multiply
    27,416x = 41,131.56 × 8,948
  4. Step 4: Simplify right side
    27,416x = 368,045,198.88
  5. Step 5: Solve for x
    x = 368,045,198.88/27,416
  6. Step 6: Final answer
    x = 13,424.47

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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.