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Finding the Fourth Proportional to 39,196.31, 54,091.90 and 21,291.32

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Solution

The fourth proportional to 39,196.31, 54,091.90 and 21,291.32 is: 29,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196.31 : 54,091.90 = 21,291.32 : x
  2. Step 2: Convert to fraction form
    39,196.31/54,091.90 = 21,291.32/x
  3. Step 3: Cross multiply
    39,196.31x = 54,091.90 × 21,291.32
  4. Step 4: Simplify right side
    39,196.31x = 1,151,687,628.62
  5. Step 5: Solve for x
    x = 1,151,687,628.62/39,196.31
  6. Step 6: Final answer
    x = 29,382.55

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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.