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Finding the Fourth Proportional to 38,696.31, 53,406.86 and 21,707.42

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Solution

The fourth proportional to 38,696.31, 53,406.86 and 21,707.42 is: 29,959.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,696.31 : 53,406.86 = 21,707.42 : x
  2. Step 2: Convert to fraction form
    38,696.31/53,406.86 = 21,707.42/x
  3. Step 3: Cross multiply
    38,696.31x = 53,406.86 × 21,707.42
  4. Step 4: Simplify right side
    38,696.31x = 1,159,324,765.33
  5. Step 5: Solve for x
    x = 1,159,324,765.33/38,696.31
  6. Step 6: Final answer
    x = 29,959.57

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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.