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Finding the Fourth Proportional to 54,100.53, 81,144.65 and 16,657.47

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Solution

The fourth proportional to 54,100.53, 81,144.65 and 16,657.47 is: 24,984.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,100.53 : 81,144.65 = 16,657.47 : x
  2. Step 2: Convert to fraction form
    54,100.53/81,144.65 = 16,657.47/x
  3. Step 3: Cross multiply
    54,100.53x = 81,144.65 × 16,657.47
  4. Step 4: Simplify right side
    54,100.53x = 1,351,664,489.75
  5. Step 5: Solve for x
    x = 1,351,664,489.75/54,100.53
  6. Step 6: Final answer
    x = 24,984.31

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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.