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Finding the Fourth Proportional to 89,471.33, 134,203.49 and 30,307

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Solution

The fourth proportional to 89,471.33, 134,203.49 and 30,307 is: 45,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,471.33 : 134,203.49 = 30,307 : x
  2. Step 2: Convert to fraction form
    89,471.33/134,203.49 = 30,307/x
  3. Step 3: Cross multiply
    89,471.33x = 134,203.49 × 30,307
  4. Step 4: Simplify right side
    89,471.33x = 4,067,305,171.43
  5. Step 5: Solve for x
    x = 4,067,305,171.43/89,471.33
  6. Step 6: Final answer
    x = 45,459.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.