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Finding the Fourth Proportional to 33,575.76, 50,371.92 and 10,200.96

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Solution

The fourth proportional to 33,575.76, 50,371.92 and 10,200.96 is: 15,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,575.76 : 50,371.92 = 10,200.96 : x
  2. Step 2: Convert to fraction form
    33,575.76/50,371.92 = 10,200.96/x
  3. Step 3: Cross multiply
    33,575.76x = 50,371.92 × 10,200.96
  4. Step 4: Simplify right side
    33,575.76x = 513,841,941.04
  5. Step 5: Solve for x
    x = 513,841,941.04/33,575.76
  6. Step 6: Final answer
    x = 15,303.96

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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.