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Finding the Fourth Proportional to 33,261.76, 45,857.12 and 27,575.04

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Solution

The fourth proportional to 33,261.76, 45,857.12 and 27,575.04 is: 38,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,261.76 : 45,857.12 = 27,575.04 : x
  2. Step 2: Convert to fraction form
    33,261.76/45,857.12 = 27,575.04/x
  3. Step 3: Cross multiply
    33,261.76x = 45,857.12 × 27,575.04
  4. Step 4: Simplify right side
    33,261.76x = 1,264,511,918.28
  5. Step 5: Solve for x
    x = 1,264,511,918.28/33,261.76
  6. Step 6: Final answer
    x = 38,016.99

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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.