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Finding the Fourth Proportional to 33,713.10, 50,581.80 and 14,005.80

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Solution

The fourth proportional to 33,713.10, 50,581.80 and 14,005.80 is: 21,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,713.10 : 50,581.80 = 14,005.80 : x
  2. Step 2: Convert to fraction form
    33,713.10/50,581.80 = 14,005.80/x
  3. Step 3: Cross multiply
    33,713.10x = 50,581.80 × 14,005.80
  4. Step 4: Simplify right side
    33,713.10x = 708,438,574.44
  5. Step 5: Solve for x
    x = 708,438,574.44/33,713.10
  6. Step 6: Final answer
    x = 21,013.75

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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.