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Finding the Fourth Proportional to 52,134.38, 78,212.51 and 22,556.42

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Solution

The fourth proportional to 52,134.38, 78,212.51 and 22,556.42 is: 33,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,134.38 : 78,212.51 = 22,556.42 : x
  2. Step 2: Convert to fraction form
    52,134.38/78,212.51 = 22,556.42/x
  3. Step 3: Cross multiply
    52,134.38x = 78,212.51 × 22,556.42
  4. Step 4: Simplify right side
    52,134.38x = 1,764,194,112.03
  5. Step 5: Solve for x
    x = 1,764,194,112.03/52,134.38
  6. Step 6: Final answer
    x = 33,839.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.