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Finding the Fourth Proportional to 54,846.99, 82,270.48 and 13,293.99

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Solution

The fourth proportional to 54,846.99, 82,270.48 and 13,293.99 is: 19,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,846.99 : 82,270.48 = 13,293.99 : x
  2. Step 2: Convert to fraction form
    54,846.99/82,270.48 = 13,293.99/x
  3. Step 3: Cross multiply
    54,846.99x = 82,270.48 × 13,293.99
  4. Step 4: Simplify right side
    54,846.99x = 1,093,702,938.42
  5. Step 5: Solve for x
    x = 1,093,702,938.42/54,846.99
  6. Step 6: Final answer
    x = 19,940.98

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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.