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Finding the Fourth Proportional to 33,978.24, 50,970.48 and 13,203.36

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Solution

The fourth proportional to 33,978.24, 50,970.48 and 13,203.36 is: 19,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.24 : 50,970.48 = 13,203.36 : x
  2. Step 2: Convert to fraction form
    33,978.24/50,970.48 = 13,203.36/x
  3. Step 3: Cross multiply
    33,978.24x = 50,970.48 × 13,203.36
  4. Step 4: Simplify right side
    33,978.24x = 672,981,596.81
  5. Step 5: Solve for x
    x = 672,981,596.81/33,978.24
  6. Step 6: Final answer
    x = 19,806.25

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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.