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Finding the Fourth Proportional to 36,644.37, 54,965.64 and 10,348.74

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Solution

The fourth proportional to 36,644.37, 54,965.64 and 10,348.74 is: 15,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,644.37 : 54,965.64 = 10,348.74 : x
  2. Step 2: Convert to fraction form
    36,644.37/54,965.64 = 10,348.74/x
  3. Step 3: Cross multiply
    36,644.37x = 54,965.64 × 10,348.74
  4. Step 4: Simplify right side
    36,644.37x = 568,825,117.29
  5. Step 5: Solve for x
    x = 568,825,117.29/36,644.37
  6. Step 6: Final answer
    x = 15,522.85

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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.