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Finding the Fourth Proportional to 32,930.32, 49,272.46 and 20,234.78

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Solution

The fourth proportional to 32,930.32, 49,272.46 and 20,234.78 is: 30,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,930.32 : 49,272.46 = 20,234.78 : x
  2. Step 2: Convert to fraction form
    32,930.32/49,272.46 = 20,234.78/x
  3. Step 3: Cross multiply
    32,930.32x = 49,272.46 × 20,234.78
  4. Step 4: Simplify right side
    32,930.32x = 997,017,388.16
  5. Step 5: Solve for x
    x = 997,017,388.16/32,930.32
  6. Step 6: Final answer
    x = 30,276.58

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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.