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Finding the Fourth Proportional to 39,640.32, 54,662.80 and 27,699.28

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Solution

The fourth proportional to 39,640.32, 54,662.80 and 27,699.28 is: 38,196.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,640.32 : 54,662.80 = 27,699.28 : x
  2. Step 2: Convert to fraction form
    39,640.32/54,662.80 = 27,699.28/x
  3. Step 3: Cross multiply
    39,640.32x = 54,662.80 × 27,699.28
  4. Step 4: Simplify right side
    39,640.32x = 1,514,120,202.78
  5. Step 5: Solve for x
    x = 1,514,120,202.78/39,640.32
  6. Step 6: Final answer
    x = 38,196.47

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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.