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Finding the Fourth Proportional to 54,812.62, 82,227.54 and 23,222.78

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Solution

The fourth proportional to 54,812.62, 82,227.54 and 23,222.78 is: 34,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,812.62 : 82,227.54 = 23,222.78 : x
  2. Step 2: Convert to fraction form
    54,812.62/82,227.54 = 23,222.78/x
  3. Step 3: Cross multiply
    54,812.62x = 82,227.54 × 23,222.78
  4. Step 4: Simplify right side
    54,812.62x = 1,909,552,071.36
  5. Step 5: Solve for x
    x = 1,909,552,071.36/54,812.62
  6. Step 6: Final answer
    x = 34,837.82

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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.