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Finding the Fourth Proportional to 52,005.63, 78,136.83 and 33,293.82

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Solution

The fourth proportional to 52,005.63, 78,136.83 and 33,293.82 is: 50,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.63 : 78,136.83 = 33,293.82 : x
  2. Step 2: Convert to fraction form
    52,005.63/78,136.83 = 33,293.82/x
  3. Step 3: Cross multiply
    52,005.63x = 78,136.83 × 33,293.82
  4. Step 4: Simplify right side
    52,005.63x = 2,601,473,553.39
  5. Step 5: Solve for x
    x = 2,601,473,553.39/52,005.63
  6. Step 6: Final answer
    x = 50,022.92

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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.