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Finding the Fourth Proportional to 33,530.42, 50,303.41 and 9,837

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Solution

The fourth proportional to 33,530.42, 50,303.41 and 9,837 is: 14,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,530.42 : 50,303.41 = 9,837 : x
  2. Step 2: Convert to fraction form
    33,530.42/50,303.41 = 9,837/x
  3. Step 3: Cross multiply
    33,530.42x = 50,303.41 × 9,837
  4. Step 4: Simplify right side
    33,530.42x = 494,834,594.99
  5. Step 5: Solve for x
    x = 494,834,594.99/33,530.42
  6. Step 6: Final answer
    x = 14,757.78

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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.