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Finding the Fourth Proportional to 33,008.96, 49,503.68 and 9,628.08

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Solution

The fourth proportional to 33,008.96, 49,503.68 and 9,628.08 is: 14,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,008.96 : 49,503.68 = 9,628.08 : x
  2. Step 2: Convert to fraction form
    33,008.96/49,503.68 = 9,628.08/x
  3. Step 3: Cross multiply
    33,008.96x = 49,503.68 × 9,628.08
  4. Step 4: Simplify right side
    33,008.96x = 476,625,391.33
  5. Step 5: Solve for x
    x = 476,625,391.33/33,008.96
  6. Step 6: Final answer
    x = 14,439.27

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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.