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Finding the Fourth Proportional to 30,727.89, 46,091.97 and 9,667.08

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Solution

The fourth proportional to 30,727.89, 46,091.97 and 9,667.08 is: 14,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.89 : 46,091.97 = 9,667.08 : x
  2. Step 2: Convert to fraction form
    30,727.89/46,091.97 = 9,667.08/x
  3. Step 3: Cross multiply
    30,727.89x = 46,091.97 × 9,667.08
  4. Step 4: Simplify right side
    30,727.89x = 445,574,761.35
  5. Step 5: Solve for x
    x = 445,574,761.35/30,727.89
  6. Step 6: Final answer
    x = 14,500.66

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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.