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Finding the Fourth Proportional to 33,065.16, 45,598.49 and 21,744.25

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Solution

The fourth proportional to 33,065.16, 45,598.49 and 21,744.25 is: 29,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,065.16 : 45,598.49 = 21,744.25 : x
  2. Step 2: Convert to fraction form
    33,065.16/45,598.49 = 21,744.25/x
  3. Step 3: Cross multiply
    33,065.16x = 45,598.49 × 21,744.25
  4. Step 4: Simplify right side
    33,065.16x = 991,504,947.32
  5. Step 5: Solve for x
    x = 991,504,947.32/33,065.16
  6. Step 6: Final answer
    x = 29,986.39

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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.