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Finding the Fourth Proportional to 20,046.41, 30,068.45 and 5,255.31

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Solution

The fourth proportional to 20,046.41, 30,068.45 and 5,255.31 is: 7,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.41 : 30,068.45 = 5,255.31 : x
  2. Step 2: Convert to fraction form
    20,046.41/30,068.45 = 5,255.31/x
  3. Step 3: Cross multiply
    20,046.41x = 30,068.45 × 5,255.31
  4. Step 4: Simplify right side
    20,046.41x = 158,019,039.11
  5. Step 5: Solve for x
    x = 158,019,039.11/20,046.41
  6. Step 6: Final answer
    x = 7,882.66

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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.