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Finding the Fourth Proportional to 33,981.49, 50,972.24 and 10,609.93

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Solution

The fourth proportional to 33,981.49, 50,972.24 and 10,609.93 is: 15,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,981.49 : 50,972.24 = 10,609.93 : x
  2. Step 2: Convert to fraction form
    33,981.49/50,972.24 = 10,609.93/x
  3. Step 3: Cross multiply
    33,981.49x = 50,972.24 × 10,609.93
  4. Step 4: Simplify right side
    33,981.49x = 540,811,898.34
  5. Step 5: Solve for x
    x = 540,811,898.34/33,981.49
  6. Step 6: Final answer
    x = 15,914.90

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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.