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Finding the Fourth Proportional to 33,707.66, 50,549.07 and 11,214.14

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Solution

The fourth proportional to 33,707.66, 50,549.07 and 11,214.14 is: 16,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,707.66 : 50,549.07 = 11,214.14 : x
  2. Step 2: Convert to fraction form
    33,707.66/50,549.07 = 11,214.14/x
  3. Step 3: Cross multiply
    33,707.66x = 50,549.07 × 11,214.14
  4. Step 4: Simplify right side
    33,707.66x = 566,864,347.85
  5. Step 5: Solve for x
    x = 566,864,347.85/33,707.66
  6. Step 6: Final answer
    x = 16,817.08

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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.