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Finding the Fourth Proportional to 36,961, 55,441.98 and 12,337

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Solution

The fourth proportional to 36,961, 55,441.98 and 12,337 is: 18,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961 : 55,441.98 = 12,337 : x
  2. Step 2: Convert to fraction form
    36,961/55,441.98 = 12,337/x
  3. Step 3: Cross multiply
    36,961x = 55,441.98 × 12,337
  4. Step 4: Simplify right side
    36,961x = 683,987,707.26
  5. Step 5: Solve for x
    x = 683,987,707.26/36,961
  6. Step 6: Final answer
    x = 18,505.66

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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.