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Finding the Fourth Proportional to 33,309.80, 49,981.02 and 13,601.96

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Solution

The fourth proportional to 33,309.80, 49,981.02 and 13,601.96 is: 20,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309.80 : 49,981.02 = 13,601.96 : x
  2. Step 2: Convert to fraction form
    33,309.80/49,981.02 = 13,601.96/x
  3. Step 3: Cross multiply
    33,309.80x = 49,981.02 × 13,601.96
  4. Step 4: Simplify right side
    33,309.80x = 679,839,834.80
  5. Step 5: Solve for x
    x = 679,839,834.80/33,309.80
  6. Step 6: Final answer
    x = 20,409.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.