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Finding the Fourth Proportional to 55,228.12, 82,792.50 and 20,143.24

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Solution

The fourth proportional to 55,228.12, 82,792.50 and 20,143.24 is: 30,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228.12 : 82,792.50 = 20,143.24 : x
  2. Step 2: Convert to fraction form
    55,228.12/82,792.50 = 20,143.24/x
  3. Step 3: Cross multiply
    55,228.12x = 82,792.50 × 20,143.24
  4. Step 4: Simplify right side
    55,228.12x = 1,667,709,197.70
  5. Step 5: Solve for x
    x = 1,667,709,197.70/55,228.12
  6. Step 6: Final answer
    x = 30,196.74

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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.