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Finding the Fourth Proportional to 33,788.16, 50,677.68 and 8,829.96

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Solution

The fourth proportional to 33,788.16, 50,677.68 and 8,829.96 is: 13,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,788.16 : 50,677.68 = 8,829.96 : x
  2. Step 2: Convert to fraction form
    33,788.16/50,677.68 = 8,829.96/x
  3. Step 3: Cross multiply
    33,788.16x = 50,677.68 × 8,829.96
  4. Step 4: Simplify right side
    33,788.16x = 447,481,887.29
  5. Step 5: Solve for x
    x = 447,481,887.29/33,788.16
  6. Step 6: Final answer
    x = 13,243.75

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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.