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Finding the Fourth Proportional to 33,102.96, 49,657.68 and 10,907.28

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Solution

The fourth proportional to 33,102.96, 49,657.68 and 10,907.28 is: 16,361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.96 : 49,657.68 = 10,907.28 : x
  2. Step 2: Convert to fraction form
    33,102.96/49,657.68 = 10,907.28/x
  3. Step 3: Cross multiply
    33,102.96x = 49,657.68 × 10,907.28
  4. Step 4: Simplify right side
    33,102.96x = 541,630,219.91
  5. Step 5: Solve for x
    x = 541,630,219.91/33,102.96
  6. Step 6: Final answer
    x = 16,361.99

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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.