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Finding the Fourth Proportional to 120,469.36, 180,712.92 and 31,722.25

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Solution

The fourth proportional to 120,469.36, 180,712.92 and 31,722.25 is: 47,585.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,469.36 : 180,712.92 = 31,722.25 : x
  2. Step 2: Convert to fraction form
    120,469.36/180,712.92 = 31,722.25/x
  3. Step 3: Cross multiply
    120,469.36x = 180,712.92 × 31,722.25
  4. Step 4: Simplify right side
    120,469.36x = 5,732,620,347.16
  5. Step 5: Solve for x
    x = 5,732,620,347.16/120,469.36
  6. Step 6: Final answer
    x = 47,585.71

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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.