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Finding the Fourth Proportional to 57,469.50, 86,204.25 and 15,916.50

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Solution

The fourth proportional to 57,469.50, 86,204.25 and 15,916.50 is: 23,874.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,469.50 : 86,204.25 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    57,469.50/86,204.25 = 15,916.50/x
  3. Step 3: Cross multiply
    57,469.50x = 86,204.25 × 15,916.50
  4. Step 4: Simplify right side
    57,469.50x = 1,372,069,945.13
  5. Step 5: Solve for x
    x = 1,372,069,945.13/57,469.50
  6. Step 6: Final answer
    x = 23,874.75

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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.