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Finding the Fourth Proportional to 33,207.80, 45,805.80 and 19,769

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Solution

The fourth proportional to 33,207.80, 45,805.80 and 19,769 is: 27,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207.80 : 45,805.80 = 19,769 : x
  2. Step 2: Convert to fraction form
    33,207.80/45,805.80 = 19,769/x
  3. Step 3: Cross multiply
    33,207.80x = 45,805.80 × 19,769
  4. Step 4: Simplify right side
    33,207.80x = 905,534,860.20
  5. Step 5: Solve for x
    x = 905,534,860.20/33,207.80
  6. Step 6: Final answer
    x = 27,268.74

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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.