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Finding the Fourth Proportional to 31,908.94, 44,034.64 and 17,762.09

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Solution

The fourth proportional to 31,908.94, 44,034.64 and 17,762.09 is: 24,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.94 : 44,034.64 = 17,762.09 : x
  2. Step 2: Convert to fraction form
    31,908.94/44,034.64 = 17,762.09/x
  3. Step 3: Cross multiply
    31,908.94x = 44,034.64 × 17,762.09
  4. Step 4: Simplify right side
    31,908.94x = 782,146,974.22
  5. Step 5: Solve for x
    x = 782,146,974.22/31,908.94
  6. Step 6: Final answer
    x = 24,511.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.