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Finding the Fourth Proportional to 120,049.09, 180,082.74 and 35,802.68

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Solution

The fourth proportional to 120,049.09, 180,082.74 and 35,802.68 is: 53,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,049.09 : 180,082.74 = 35,802.68 : x
  2. Step 2: Convert to fraction form
    120,049.09/180,082.74 = 35,802.68/x
  3. Step 3: Cross multiply
    120,049.09x = 180,082.74 × 35,802.68
  4. Step 4: Simplify right side
    120,049.09x = 6,447,443,947.59
  5. Step 5: Solve for x
    x = 6,447,443,947.59/120,049.09
  6. Step 6: Final answer
    x = 53,706.73

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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.