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Finding the Fourth Proportional to 38,906.31, 53,690.96 and 22,139.31

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Solution

The fourth proportional to 38,906.31, 53,690.96 and 22,139.31 is: 30,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,906.31 : 53,690.96 = 22,139.31 : x
  2. Step 2: Convert to fraction form
    38,906.31/53,690.96 = 22,139.31/x
  3. Step 3: Cross multiply
    38,906.31x = 53,690.96 × 22,139.31
  4. Step 4: Simplify right side
    38,906.31x = 1,188,680,696.94
  5. Step 5: Solve for x
    x = 1,188,680,696.94/38,906.31
  6. Step 6: Final answer
    x = 30,552.39

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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.