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Finding the Fourth Proportional to 120,049.27, 180,074.04 and 31,302.70

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Solution

The fourth proportional to 120,049.27, 180,074.04 and 31,302.70 is: 46,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,049.27 : 180,074.04 = 31,302.70 : x
  2. Step 2: Convert to fraction form
    120,049.27/180,074.04 = 31,302.70/x
  3. Step 3: Cross multiply
    120,049.27x = 180,074.04 × 31,302.70
  4. Step 4: Simplify right side
    120,049.27x = 5,636,803,651.91
  5. Step 5: Solve for x
    x = 5,636,803,651.91/120,049.27
  6. Step 6: Final answer
    x = 46,954.09

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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.