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Finding the Fourth Proportional to 36,640.96, 54,965.76 and 11,672.32

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Solution

The fourth proportional to 36,640.96, 54,965.76 and 11,672.32 is: 17,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,640.96 : 54,965.76 = 11,672.32 : x
  2. Step 2: Convert to fraction form
    36,640.96/54,965.76 = 11,672.32/x
  3. Step 3: Cross multiply
    36,640.96x = 54,965.76 × 11,672.32
  4. Step 4: Simplify right side
    36,640.96x = 641,577,939.76
  5. Step 5: Solve for x
    x = 641,577,939.76/36,640.96
  6. Step 6: Final answer
    x = 17,509.86

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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.