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Finding the Fourth Proportional to 106,974.46, 160,463.49 and 40,446.10

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Solution

The fourth proportional to 106,974.46, 160,463.49 and 40,446.10 is: 60,669.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,974.46 : 160,463.49 = 40,446.10 : x
  2. Step 2: Convert to fraction form
    106,974.46/160,463.49 = 40,446.10/x
  3. Step 3: Cross multiply
    106,974.46x = 160,463.49 × 40,446.10
  4. Step 4: Simplify right side
    106,974.46x = 6,490,122,362.89
  5. Step 5: Solve for x
    x = 6,490,122,362.89/106,974.46
  6. Step 6: Final answer
    x = 60,669.83

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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.