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Finding the Fourth Proportional to 57,143.36, 85,747.44 and 30,847.52

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Solution

The fourth proportional to 57,143.36, 85,747.44 and 30,847.52 is: 46,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,143.36 : 85,747.44 = 30,847.52 : x
  2. Step 2: Convert to fraction form
    57,143.36/85,747.44 = 30,847.52/x
  3. Step 3: Cross multiply
    57,143.36x = 85,747.44 × 30,847.52
  4. Step 4: Simplify right side
    57,143.36x = 2,645,095,441.61
  5. Step 5: Solve for x
    x = 2,645,095,441.61/57,143.36
  6. Step 6: Final answer
    x = 46,288.77

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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.