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Finding the Fourth Proportional to 33,993.20, 50,970 and 13,192.40

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Solution

The fourth proportional to 33,993.20, 50,970 and 13,192.40 is: 19,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.20 : 50,970 = 13,192.40 : x
  2. Step 2: Convert to fraction form
    33,993.20/50,970 = 13,192.40/x
  3. Step 3: Cross multiply
    33,993.20x = 50,970 × 13,192.40
  4. Step 4: Simplify right side
    33,993.20x = 672,416,628
  5. Step 5: Solve for x
    x = 672,416,628/33,993.20
  6. Step 6: Final answer
    x = 19,780.92

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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.