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Finding the Fourth Proportional to 34,922.86, 52,394.58 and 20,142.38

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Solution

The fourth proportional to 34,922.86, 52,394.58 and 20,142.38 is: 30,219.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,922.86 : 52,394.58 = 20,142.38 : x
  2. Step 2: Convert to fraction form
    34,922.86/52,394.58 = 20,142.38/x
  3. Step 3: Cross multiply
    34,922.86x = 52,394.58 × 20,142.38
  4. Step 4: Simplify right side
    34,922.86x = 1,055,351,540.30
  5. Step 5: Solve for x
    x = 1,055,351,540.30/34,922.86
  6. Step 6: Final answer
    x = 30,219.50

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Why These Related Problems?

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