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Finding the Fourth Proportional to 120,665.60, 180,991.92 and 31,922

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Solution

The fourth proportional to 120,665.60, 180,991.92 and 31,922 is: 47,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,665.60 : 180,991.92 = 31,922 : x
  2. Step 2: Convert to fraction form
    120,665.60/180,991.92 = 31,922/x
  3. Step 3: Cross multiply
    120,665.60x = 180,991.92 × 31,922
  4. Step 4: Simplify right side
    120,665.60x = 5,777,624,070.24
  5. Step 5: Solve for x
    x = 5,777,624,070.24/120,665.60
  6. Step 6: Final answer
    x = 47,881.29

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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.