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Finding the Fourth Proportional to 33,806.40, 50,698.80 and 14,080.20

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Solution

The fourth proportional to 33,806.40, 50,698.80 and 14,080.20 is: 21,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,806.40 : 50,698.80 = 14,080.20 : x
  2. Step 2: Convert to fraction form
    33,806.40/50,698.80 = 14,080.20/x
  3. Step 3: Cross multiply
    33,806.40x = 50,698.80 × 14,080.20
  4. Step 4: Simplify right side
    33,806.40x = 713,849,243.76
  5. Step 5: Solve for x
    x = 713,849,243.76/33,806.40
  6. Step 6: Final answer
    x = 21,115.80

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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.