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Finding the Fourth Proportional to 38,407.26, 53,005.86 and 21,414.30

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Solution

The fourth proportional to 38,407.26, 53,005.86 and 21,414.30 is: 29,553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407.26 : 53,005.86 = 21,414.30 : x
  2. Step 2: Convert to fraction form
    38,407.26/53,005.86 = 21,414.30/x
  3. Step 3: Cross multiply
    38,407.26x = 53,005.86 × 21,414.30
  4. Step 4: Simplify right side
    38,407.26x = 1,135,083,387.80
  5. Step 5: Solve for x
    x = 1,135,083,387.80/38,407.26
  6. Step 6: Final answer
    x = 29,553.88

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