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Finding the Fourth Proportional to 33,741.50, 50,577.69 and 14,031.50

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Solution

The fourth proportional to 33,741.50, 50,577.69 and 14,031.50 is: 21,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,741.50 : 50,577.69 = 14,031.50 : x
  2. Step 2: Convert to fraction form
    33,741.50/50,577.69 = 14,031.50/x
  3. Step 3: Cross multiply
    33,741.50x = 50,577.69 × 14,031.50
  4. Step 4: Simplify right side
    33,741.50x = 709,680,857.24
  5. Step 5: Solve for x
    x = 709,680,857.24/33,741.50
  6. Step 6: Final answer
    x = 21,032.88

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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.