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Finding the Fourth Proportional to 38,626.74, 53,310.30 and 27,906.31

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Solution

The fourth proportional to 38,626.74, 53,310.30 and 27,906.31 is: 38,514.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,626.74 : 53,310.30 = 27,906.31 : x
  2. Step 2: Convert to fraction form
    38,626.74/53,310.30 = 27,906.31/x
  3. Step 3: Cross multiply
    38,626.74x = 53,310.30 × 27,906.31
  4. Step 4: Simplify right side
    38,626.74x = 1,487,693,577.08
  5. Step 5: Solve for x
    x = 1,487,693,577.08/38,626.74
  6. Step 6: Final answer
    x = 38,514.60

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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.