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Finding the Fourth Proportional to 20,234.76, 30,352.08 and 5,443.68

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Solution

The fourth proportional to 20,234.76, 30,352.08 and 5,443.68 is: 8,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,234.76 : 30,352.08 = 5,443.68 : x
  2. Step 2: Convert to fraction form
    20,234.76/30,352.08 = 5,443.68/x
  3. Step 3: Cross multiply
    20,234.76x = 30,352.08 × 5,443.68
  4. Step 4: Simplify right side
    20,234.76x = 165,227,010.85
  5. Step 5: Solve for x
    x = 165,227,010.85/20,234.76
  6. Step 6: Final answer
    x = 8,165.50

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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.