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Finding the Fourth Proportional to 76,996.73, 115,475.06 and 32,600.63

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Solution

The fourth proportional to 76,996.73, 115,475.06 and 32,600.63 is: 48,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996.73 : 115,475.06 = 32,600.63 : x
  2. Step 2: Convert to fraction form
    76,996.73/115,475.06 = 32,600.63/x
  3. Step 3: Cross multiply
    76,996.73x = 115,475.06 × 32,600.63
  4. Step 4: Simplify right side
    76,996.73x = 3,764,558,964.91
  5. Step 5: Solve for x
    x = 3,764,558,964.91/76,996.73
  6. Step 6: Final answer
    x = 48,892.46

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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.