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Finding the Fourth Proportional to 33,170.34, 45,775.89 and 20,418.78

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Solution

The fourth proportional to 33,170.34, 45,775.89 and 20,418.78 is: 28,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,170.34 : 45,775.89 = 20,418.78 : x
  2. Step 2: Convert to fraction form
    33,170.34/45,775.89 = 20,418.78/x
  3. Step 3: Cross multiply
    33,170.34x = 45,775.89 × 20,418.78
  4. Step 4: Simplify right side
    33,170.34x = 934,687,827.21
  5. Step 5: Solve for x
    x = 934,687,827.21/33,170.34
  6. Step 6: Final answer
    x = 28,178.42

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