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Finding the Fourth Proportional to 33,525.89, 50,298.26 and 9,834

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Solution

The fourth proportional to 33,525.89, 50,298.26 and 9,834 is: 14,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,525.89 : 50,298.26 = 9,834 : x
  2. Step 2: Convert to fraction form
    33,525.89/50,298.26 = 9,834/x
  3. Step 3: Cross multiply
    33,525.89x = 50,298.26 × 9,834
  4. Step 4: Simplify right side
    33,525.89x = 494,633,039.67
  5. Step 5: Solve for x
    x = 494,633,039.67/33,525.89
  6. Step 6: Final answer
    x = 14,753.76

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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.