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Finding the Fourth Proportional to 33,101.80, 45,675.97 and 19,668.16

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Solution

The fourth proportional to 33,101.80, 45,675.97 and 19,668.16 is: 27,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,101.80 : 45,675.97 = 19,668.16 : x
  2. Step 2: Convert to fraction form
    33,101.80/45,675.97 = 19,668.16/x
  3. Step 3: Cross multiply
    33,101.80x = 45,675.97 × 19,668.16
  4. Step 4: Simplify right side
    33,101.80x = 898,362,286.12
  5. Step 5: Solve for x
    x = 898,362,286.12/33,101.80
  6. Step 6: Final answer
    x = 27,139.38

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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.