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Finding the Fourth Proportional to 55,743.62, 83,593.64 and 20,196.50

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Solution

The fourth proportional to 55,743.62, 83,593.64 and 20,196.50 is: 30,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,743.62 : 83,593.64 = 20,196.50 : x
  2. Step 2: Convert to fraction form
    55,743.62/83,593.64 = 20,196.50/x
  3. Step 3: Cross multiply
    55,743.62x = 83,593.64 × 20,196.50
  4. Step 4: Simplify right side
    55,743.62x = 1,688,298,431.31
  5. Step 5: Solve for x
    x = 1,688,298,431.31/55,743.62
  6. Step 6: Final answer
    x = 30,286.85

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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.