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Finding the Fourth Proportional to 29,782.34, 41,072.19 and 20,236.52

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Solution

The fourth proportional to 29,782.34, 41,072.19 and 20,236.52 is: 27,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.34 : 41,072.19 = 20,236.52 : x
  2. Step 2: Convert to fraction form
    29,782.34/41,072.19 = 20,236.52/x
  3. Step 3: Cross multiply
    29,782.34x = 41,072.19 × 20,236.52
  4. Step 4: Simplify right side
    29,782.34x = 831,158,194.38
  5. Step 5: Solve for x
    x = 831,158,194.38/29,782.34
  6. Step 6: Final answer
    x = 27,907.75

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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.