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Finding the Fourth Proportional to 54,592.47, 81,884 and 33,239.65

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Solution

The fourth proportional to 54,592.47, 81,884 and 33,239.65 is: 49,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,592.47 : 81,884 = 33,239.65 : x
  2. Step 2: Convert to fraction form
    54,592.47/81,884 = 33,239.65/x
  3. Step 3: Cross multiply
    54,592.47x = 81,884 × 33,239.65
  4. Step 4: Simplify right side
    54,592.47x = 2,721,795,500.60
  5. Step 5: Solve for x
    x = 2,721,795,500.60/54,592.47
  6. Step 6: Final answer
    x = 49,856.61

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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.