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Finding the Fourth Proportional to 31,027.38, 46,548.36 and 8,841.09

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Solution

The fourth proportional to 31,027.38, 46,548.36 and 8,841.09 is: 13,263.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.38 : 46,548.36 = 8,841.09 : x
  2. Step 2: Convert to fraction form
    31,027.38/46,548.36 = 8,841.09/x
  3. Step 3: Cross multiply
    31,027.38x = 46,548.36 × 8,841.09
  4. Step 4: Simplify right side
    31,027.38x = 411,538,240.11
  5. Step 5: Solve for x
    x = 411,538,240.11/31,027.38
  6. Step 6: Final answer
    x = 13,263.71

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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.