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Finding the Fourth Proportional to 33,188.68, 49,763.85 and 10,996.08

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Solution

The fourth proportional to 33,188.68, 49,763.85 and 10,996.08 is: 16,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.68 : 49,763.85 = 10,996.08 : x
  2. Step 2: Convert to fraction form
    33,188.68/49,763.85 = 10,996.08/x
  3. Step 3: Cross multiply
    33,188.68x = 49,763.85 × 10,996.08
  4. Step 4: Simplify right side
    33,188.68x = 547,207,275.71
  5. Step 5: Solve for x
    x = 547,207,275.71/33,188.68
  6. Step 6: Final answer
    x = 16,487.77

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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.