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Finding the Fourth Proportional to 31,091.49, 46,638.83 and 8,908.12

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Solution

The fourth proportional to 31,091.49, 46,638.83 and 8,908.12 is: 13,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,091.49 : 46,638.83 = 8,908.12 : x
  2. Step 2: Convert to fraction form
    31,091.49/46,638.83 = 8,908.12/x
  3. Step 3: Cross multiply
    31,091.49x = 46,638.83 × 8,908.12
  4. Step 4: Simplify right side
    31,091.49x = 415,464,294.30
  5. Step 5: Solve for x
    x = 415,464,294.30/31,091.49
  6. Step 6: Final answer
    x = 13,362.64

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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.