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Finding the Fourth Proportional to 120,012.57, 180,029.25 and 31,265.87

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Solution

The fourth proportional to 120,012.57, 180,029.25 and 31,265.87 is: 46,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,012.57 : 180,029.25 = 31,265.87 : x
  2. Step 2: Convert to fraction form
    120,012.57/180,029.25 = 31,265.87/x
  3. Step 3: Cross multiply
    120,012.57x = 180,029.25 × 31,265.87
  4. Step 4: Simplify right side
    120,012.57x = 5,628,770,226.55
  5. Step 5: Solve for x
    x = 5,628,770,226.55/120,012.57
  6. Step 6: Final answer
    x = 46,901.51

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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.