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Finding the Fourth Proportional to 27,475.98, 41,213.51 and 8,755.76

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Solution

The fourth proportional to 27,475.98, 41,213.51 and 8,755.76 is: 13,133.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.98 : 41,213.51 = 8,755.76 : x
  2. Step 2: Convert to fraction form
    27,475.98/41,213.51 = 8,755.76/x
  3. Step 3: Cross multiply
    27,475.98x = 41,213.51 × 8,755.76
  4. Step 4: Simplify right side
    27,475.98x = 360,855,396.25
  5. Step 5: Solve for x
    x = 360,855,396.25/27,475.98
  6. Step 6: Final answer
    x = 13,133.49

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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.