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Finding the Fourth Proportional to 57,755.25, 86,637.78 and 16,202.25

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Solution

The fourth proportional to 57,755.25, 86,637.78 and 16,202.25 is: 24,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,755.25 : 86,637.78 = 16,202.25 : x
  2. Step 2: Convert to fraction form
    57,755.25/86,637.78 = 16,202.25/x
  3. Step 3: Cross multiply
    57,755.25x = 86,637.78 × 16,202.25
  4. Step 4: Simplify right side
    57,755.25x = 1,403,726,971.01
  5. Step 5: Solve for x
    x = 1,403,726,971.01/57,755.25
  6. Step 6: Final answer
    x = 24,304.75

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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.