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Finding the Fourth Proportional to 33,104.82, 49,657.20 and 9,731.25

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Solution

The fourth proportional to 33,104.82, 49,657.20 and 9,731.25 is: 14,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104.82 : 49,657.20 = 9,731.25 : x
  2. Step 2: Convert to fraction form
    33,104.82/49,657.20 = 9,731.25/x
  3. Step 3: Cross multiply
    33,104.82x = 49,657.20 × 9,731.25
  4. Step 4: Simplify right side
    33,104.82x = 483,226,627.50
  5. Step 5: Solve for x
    x = 483,226,627.50/33,104.82
  6. Step 6: Final answer
    x = 14,596.87

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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.