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Finding the Fourth Proportional to 33,224.80, 45,829.24 and 19,786

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Solution

The fourth proportional to 33,224.80, 45,829.24 and 19,786 is: 27,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,224.80 : 45,829.24 = 19,786 : x
  2. Step 2: Convert to fraction form
    33,224.80/45,829.24 = 19,786/x
  3. Step 3: Cross multiply
    33,224.80x = 45,829.24 × 19,786
  4. Step 4: Simplify right side
    33,224.80x = 906,777,342.64
  5. Step 5: Solve for x
    x = 906,777,342.64/33,224.80
  6. Step 6: Final answer
    x = 27,292.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.