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Finding the Fourth Proportional to 57,072.50, 78,757.52 and 31,580.28

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Solution

The fourth proportional to 57,072.50, 78,757.52 and 31,580.28 is: 43,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,072.50 : 78,757.52 = 31,580.28 : x
  2. Step 2: Convert to fraction form
    57,072.50/78,757.52 = 31,580.28/x
  3. Step 3: Cross multiply
    57,072.50x = 78,757.52 × 31,580.28
  4. Step 4: Simplify right side
    57,072.50x = 2,487,184,375.80
  5. Step 5: Solve for x
    x = 2,487,184,375.80/57,072.50
  6. Step 6: Final answer
    x = 43,579.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.