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Finding the Fourth Proportional to 54,102.60, 81,089.10 and 27,793.80

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Solution

The fourth proportional to 54,102.60, 81,089.10 and 27,793.80 is: 41,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,102.60 : 81,089.10 = 27,793.80 : x
  2. Step 2: Convert to fraction form
    54,102.60/81,089.10 = 27,793.80/x
  3. Step 3: Cross multiply
    54,102.60x = 81,089.10 × 27,793.80
  4. Step 4: Simplify right side
    54,102.60x = 2,253,774,227.58
  5. Step 5: Solve for x
    x = 2,253,774,227.58/54,102.60
  6. Step 6: Final answer
    x = 41,657.41

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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.