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Finding the Fourth Proportional to 57,285.72, 85,906.98 and 33,918.84

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Solution

The fourth proportional to 57,285.72, 85,906.98 and 33,918.84 is: 50,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,285.72 : 85,906.98 = 33,918.84 : x
  2. Step 2: Convert to fraction form
    57,285.72/85,906.98 = 33,918.84/x
  3. Step 3: Cross multiply
    57,285.72x = 85,906.98 × 33,918.84
  4. Step 4: Simplify right side
    57,285.72x = 2,913,865,109.50
  5. Step 5: Solve for x
    x = 2,913,865,109.50/57,285.72
  6. Step 6: Final answer
    x = 50,865.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.