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Finding the Fourth Proportional to 54,092.12, 80,940.82 and 31,916.12

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Solution

The fourth proportional to 54,092.12, 80,940.82 and 31,916.12 is: 47,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,092.12 : 80,940.82 = 31,916.12 : x
  2. Step 2: Convert to fraction form
    54,092.12/80,940.82 = 31,916.12/x
  3. Step 3: Cross multiply
    54,092.12x = 80,940.82 × 31,916.12
  4. Step 4: Simplify right side
    54,092.12x = 2,583,316,924.02
  5. Step 5: Solve for x
    x = 2,583,316,924.02/54,092.12
  6. Step 6: Final answer
    x = 47,757.73

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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.