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Finding the Fourth Proportional to 45,906.60, 68,714.10 and 32,784.60

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Solution

The fourth proportional to 45,906.60, 68,714.10 and 32,784.60 is: 49,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,906.60 : 68,714.10 = 32,784.60 : x
  2. Step 2: Convert to fraction form
    45,906.60/68,714.10 = 32,784.60/x
  3. Step 3: Cross multiply
    45,906.60x = 68,714.10 × 32,784.60
  4. Step 4: Simplify right side
    45,906.60x = 2,252,764,282.86
  5. Step 5: Solve for x
    x = 2,252,764,282.86/45,906.60
  6. Step 6: Final answer
    x = 49,072.78

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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.