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Finding the Fourth Proportional to 107,842.60, 161,768.70 and 36,764.20

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Solution

The fourth proportional to 107,842.60, 161,768.70 and 36,764.20 is: 55,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,842.60 : 161,768.70 = 36,764.20 : x
  2. Step 2: Convert to fraction form
    107,842.60/161,768.70 = 36,764.20/x
  3. Step 3: Cross multiply
    107,842.60x = 161,768.70 × 36,764.20
  4. Step 4: Simplify right side
    107,842.60x = 5,947,296,840.54
  5. Step 5: Solve for x
    x = 5,947,296,840.54/107,842.60
  6. Step 6: Final answer
    x = 55,147.94

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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.