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Finding the Fourth Proportional to 106,072.92, 159,086.97 and 31,172.72

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Solution

The fourth proportional to 106,072.92, 159,086.97 and 31,172.72 is: 46,752.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,072.92 : 159,086.97 = 31,172.72 : x
  2. Step 2: Convert to fraction form
    106,072.92/159,086.97 = 31,172.72/x
  3. Step 3: Cross multiply
    106,072.92x = 159,086.97 × 31,172.72
  4. Step 4: Simplify right side
    106,072.92x = 4,959,172,776.02
  5. Step 5: Solve for x
    x = 4,959,172,776.02/106,072.92
  6. Step 6: Final answer
    x = 46,752.49

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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.