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Finding the Fourth Proportional to 38,709.82, 53,420.36 and 21,942.82

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Solution

The fourth proportional to 38,709.82, 53,420.36 and 21,942.82 is: 30,281.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.82 : 53,420.36 = 21,942.82 : x
  2. Step 2: Convert to fraction form
    38,709.82/53,420.36 = 21,942.82/x
  3. Step 3: Cross multiply
    38,709.82x = 53,420.36 × 21,942.82
  4. Step 4: Simplify right side
    38,709.82x = 1,172,193,343.82
  5. Step 5: Solve for x
    x = 1,172,193,343.82/38,709.82
  6. Step 6: Final answer
    x = 30,281.55

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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.