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Finding the Fourth Proportional to 33,188.47, 49,757.64 and 20,037.70

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Solution

The fourth proportional to 33,188.47, 49,757.64 and 20,037.70 is: 30,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.47 : 49,757.64 = 20,037.70 : x
  2. Step 2: Convert to fraction form
    33,188.47/49,757.64 = 20,037.70/x
  3. Step 3: Cross multiply
    33,188.47x = 49,757.64 × 20,037.70
  4. Step 4: Simplify right side
    33,188.47x = 997,028,663.03
  5. Step 5: Solve for x
    x = 997,028,663.03/33,188.47
  6. Step 6: Final answer
    x = 30,041.42

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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.