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Finding the Fourth Proportional to 33,694.76, 50,536.06 and 9,065

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Solution

The fourth proportional to 33,694.76, 50,536.06 and 9,065 is: 13,595.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.76 : 50,536.06 = 9,065 : x
  2. Step 2: Convert to fraction form
    33,694.76/50,536.06 = 9,065/x
  3. Step 3: Cross multiply
    33,694.76x = 50,536.06 × 9,065
  4. Step 4: Simplify right side
    33,694.76x = 458,109,383.90
  5. Step 5: Solve for x
    x = 458,109,383.90/33,694.76
  6. Step 6: Final answer
    x = 13,595.86

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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.