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Finding the Fourth Proportional to 33,149.66, 49,732.38 and 9,776.09

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Solution

The fourth proportional to 33,149.66, 49,732.38 and 9,776.09 is: 14,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.66 : 49,732.38 = 9,776.09 : x
  2. Step 2: Convert to fraction form
    33,149.66/49,732.38 = 9,776.09/x
  3. Step 3: Cross multiply
    33,149.66x = 49,732.38 × 9,776.09
  4. Step 4: Simplify right side
    33,149.66x = 486,188,347.13
  5. Step 5: Solve for x
    x = 486,188,347.13/33,149.66
  6. Step 6: Final answer
    x = 14,666.47

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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.