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Finding the Fourth Proportional to 36,643.64, 54,968.42 and 10,348.61

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Solution

The fourth proportional to 36,643.64, 54,968.42 and 10,348.61 is: 15,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.64 : 54,968.42 = 10,348.61 : x
  2. Step 2: Convert to fraction form
    36,643.64/54,968.42 = 10,348.61/x
  3. Step 3: Cross multiply
    36,643.64x = 54,968.42 × 10,348.61
  4. Step 4: Simplify right side
    36,643.64x = 568,846,801.12
  5. Step 5: Solve for x
    x = 568,846,801.12/36,643.64
  6. Step 6: Final answer
    x = 15,523.75

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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.