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Finding the Fourth Proportional to 36,872.82, 55,309.43 and 9,170.82

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Solution

The fourth proportional to 36,872.82, 55,309.43 and 9,170.82 is: 13,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872.82 : 55,309.43 = 9,170.82 : x
  2. Step 2: Convert to fraction form
    36,872.82/55,309.43 = 9,170.82/x
  3. Step 3: Cross multiply
    36,872.82x = 55,309.43 × 9,170.82
  4. Step 4: Simplify right side
    36,872.82x = 507,232,780.98
  5. Step 5: Solve for x
    x = 507,232,780.98/36,872.82
  6. Step 6: Final answer
    x = 13,756.28

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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.