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Finding the Fourth Proportional to 53,537.50, 80,248.26 and 23,914.54

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Solution

The fourth proportional to 53,537.50, 80,248.26 and 23,914.54 is: 35,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537.50 : 80,248.26 = 23,914.54 : x
  2. Step 2: Convert to fraction form
    53,537.50/80,248.26 = 23,914.54/x
  3. Step 3: Cross multiply
    53,537.50x = 80,248.26 × 23,914.54
  4. Step 4: Simplify right side
    53,537.50x = 1,919,100,223.70
  5. Step 5: Solve for x
    x = 1,919,100,223.70/53,537.50
  6. Step 6: Final answer
    x = 35,845.91

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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.