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Finding the Fourth Proportional to 33,526.40, 50,299.01 and 9,834.50

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Solution

The fourth proportional to 33,526.40, 50,299.01 and 9,834.50 is: 14,754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,526.40 : 50,299.01 = 9,834.50 : x
  2. Step 2: Convert to fraction form
    33,526.40/50,299.01 = 9,834.50/x
  3. Step 3: Cross multiply
    33,526.40x = 50,299.01 × 9,834.50
  4. Step 4: Simplify right side
    33,526.40x = 494,665,564.67
  5. Step 5: Solve for x
    x = 494,665,564.67/33,526.40
  6. Step 6: Final answer
    x = 14,754.51

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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.