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Finding the Fourth Proportional to 54,812.50, 82,221.45 and 17,876.50

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Solution

The fourth proportional to 54,812.50, 82,221.45 and 17,876.50 is: 26,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.50 : 82,221.45 = 17,876.50 : x
  2. Step 2: Convert to fraction form
    54,812.50/82,221.45 = 17,876.50/x
  3. Step 3: Cross multiply
    54,812.50x = 82,221.45 × 17,876.50
  4. Step 4: Simplify right side
    54,812.50x = 1,469,831,750.93
  5. Step 5: Solve for x
    x = 1,469,831,750.93/54,812.50
  6. Step 6: Final answer
    x = 26,815.63

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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.