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Finding the Fourth Proportional to 120,021.40, 180,032.14 and 31,274.68

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Solution

The fourth proportional to 120,021.40, 180,032.14 and 31,274.68 is: 46,912.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,021.40 : 180,032.14 = 31,274.68 : x
  2. Step 2: Convert to fraction form
    120,021.40/180,032.14 = 31,274.68/x
  3. Step 3: Cross multiply
    120,021.40x = 180,032.14 × 31,274.68
  4. Step 4: Simplify right side
    120,021.40x = 5,630,447,568.22
  5. Step 5: Solve for x
    x = 5,630,447,568.22/120,021.40
  6. Step 6: Final answer
    x = 46,912.03

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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.