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Finding the Fourth Proportional to 36,463.16, 54,694.74 and 11,839.16

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Solution

The fourth proportional to 36,463.16, 54,694.74 and 11,839.16 is: 17,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,463.16 : 54,694.74 = 11,839.16 : x
  2. Step 2: Convert to fraction form
    36,463.16/54,694.74 = 11,839.16/x
  3. Step 3: Cross multiply
    36,463.16x = 54,694.74 × 11,839.16
  4. Step 4: Simplify right side
    36,463.16x = 647,539,445.35
  5. Step 5: Solve for x
    x = 647,539,445.35/36,463.16
  6. Step 6: Final answer
    x = 17,758.73

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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.