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Finding the Fourth Proportional to 38,751.38, 53,375.05 and 29,781.72

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Solution

The fourth proportional to 38,751.38, 53,375.05 and 29,781.72 is: 41,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,751.38 : 53,375.05 = 29,781.72 : x
  2. Step 2: Convert to fraction form
    38,751.38/53,375.05 = 29,781.72/x
  3. Step 3: Cross multiply
    38,751.38x = 53,375.05 × 29,781.72
  4. Step 4: Simplify right side
    38,751.38x = 1,589,600,794.09
  5. Step 5: Solve for x
    x = 1,589,600,794.09/38,751.38
  6. Step 6: Final answer
    x = 41,020.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.