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Finding the Fourth Proportional to 33,167.34, 45,771.75 and 20,415.78

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Solution

The fourth proportional to 33,167.34, 45,771.75 and 20,415.78 is: 28,174.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,167.34 : 45,771.75 = 20,415.78 : x
  2. Step 2: Convert to fraction form
    33,167.34/45,771.75 = 20,415.78/x
  3. Step 3: Cross multiply
    33,167.34x = 45,771.75 × 20,415.78
  4. Step 4: Simplify right side
    33,167.34x = 934,465,978.22
  5. Step 5: Solve for x
    x = 934,465,978.22/33,167.34
  6. Step 6: Final answer
    x = 28,174.28

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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.