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Finding the Fourth Proportional to 38,996.98, 53,815.64 and 21,092

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Solution

The fourth proportional to 38,996.98, 53,815.64 and 21,092 is: 29,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,996.98 : 53,815.64 = 21,092 : x
  2. Step 2: Convert to fraction form
    38,996.98/53,815.64 = 21,092/x
  3. Step 3: Cross multiply
    38,996.98x = 53,815.64 × 21,092
  4. Step 4: Simplify right side
    38,996.98x = 1,135,079,478.88
  5. Step 5: Solve for x
    x = 1,135,079,478.88/38,996.98
  6. Step 6: Final answer
    x = 29,106.86

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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.